This project seeks to estimate sport fish harvest and releases of rockfish in Alaska waters by improving on the Howard et al. (2020) methods and expand the time series back to 1977 when the statewide harvest survey (SWHS) was first implemented. This is essentially a Bayesian version of the Howard methods that allows for more appropriate and defensible sharing of information between areas, handles missing data in a more appropriate manor, accurately propagates uncertainty throughout the estimation procedure and replaces the Howard decision tree approach to low sample sizes with a hierarchical model. The methods and results for generating harvest estimates are generally consistent between the Bayesian model and the Howard methods. Harvest estimates are consistent with Howard estimates during contemporary times, but may differ based on more appropriate weighting of SWHS and logbook data, including estimating and correcting bias in the SWHS data.

The Bayesian methods depart from the Howard method in how releases are estimated. The Howard methods assume that the species composition of the harvests are equal to the species composition of released fish, which is clearly contraindicated in the logbook data. For instance, logbook data demonstrates that yelloweye have been retained at high levels up until restrictions were enacted in recent years, whereas pelagic rockfish were released in significant numbers in the past with retention increasing in recent years as they have become more prized by anglers. Recent prohibition on retaining yelloweye in Southeast Alaska highlights the shortcomings of the original Howard assumptions as the species composition of the harvest would indicate that no yelloweye were caught and released during the closure.

The Howard method for estimating releases for private anglers also relied on an expansion of the logbook release estimates based on the ratio of private:guided releases of all rockfish in the SWHS. In addition to the faulty assumptions about species composition, this method ignores potential bias in SWHS estimates of harvests and releases or at least assumes that the bias in release and harvests are the same. As demonstrated in Figure 1, the bias in those two quantities appears to be quite different based on the logbook data. The Bayesian model thus attempts to estimate release probabilities based on the logbook data coupled with bias corrected estimates from the SWHS.

Lastly, the Howard methods were only used on data beginning in 1999 with the advent of the logbook program and estimates of harvests and releases prior to that have been based on linear ramps from 1999 back to the perceived start of the fishery. The Bayesian methods allow us to expand the time series back to 1977 when the SWHS was implemented by leveraging regional data trends in species composition and the proportion of caught rockfish harvested by species and/or species complex. Key advantages of the Bayesian approach are highlighted in table 1.

Table 1. Summary of key improvements in reconstructiing sport fish removals of rockfish using the Bayesian model as compared to the Howard et al. (2020) methods.
Issue Howard Bayes
Time series 1999 - present 1977 - present
Bias in SWHS Not explicitly dealt with. Relies on logbook data and ratios of guided/unguided from SWHS data to estimate unguided releases and harvests. Explicitly estimates bias in SWHS harvest and release estimates based on logbook data.
Species composition of releases Assumes that species composition of releases is equal to that of the harvest, which is not evident in the logbook data. Recognizes different release probabilities by species / species assemblage and estimates it from logbook data and bias corrected SWHS data
Sample size limitations Uses sample size threshholds such that when areas fall below those threshholds values are borrowed from nearby areas. Uses a hierarchichacal modelling approach that shares information between areas in the same region. Thus all data is used, even with small sample sizes. This is a more sound method that avoids assumptions and uses all of the data.
Error propogation Error is propogated when variance estimates are available, but there is uncertainty associated with borrowing values from nearby areas, or the assumption of species compositions being identical in harvest and releases, are not dealt with. By breaking the assumption that species composition is equal between harvests and releases, uncertainty in the release estimates is more reflective of the fishery. Furthermore, the hyerarchichal approach more accurately captures uncertainy within and between areas within a region.

Data

Harvest data was available for 22 commercial fishing management areas in Southcentral and Southeast Alaska. Areas with negligible rockfish harvest were pooled with adjacent areas for analysis. Specifically the Aleutian and Bering areas were pooled into an area labeled BSAI; the IBS and EKYT were pooled into an area labeled EKYKT; the Southeast, Southwest, SAKPEN and Chignik areas were pooled into an area labeled SOKO2PEN and the Westside and Mainland areas were pooled into an area labeled WKMA.

Stateside Harvest Survey (SWHS)

Statewide harvest survey estimates of rockfish catch and harvest are available for 28 years (1996-2023) for all users and for 13 years (2011-2023) for guided anglers (Figure 0). Additionally, there are overall harvest estimates from 1977- 1995 and release estimates from 1990-1995 that required some partitioning to ascribe to current management units. Harvests in unknown areas were apportioned based on harvest proportions in 1996. Variance estimates are not available for pre-1996 data and as such, the maximum observed coefficient of variation (cv) in each commercial fisheries management unit was applied to the pre-1996 values.

**Figure 1.**- Data sources for estimating rockfish harvests and releases in ADF&G commercial fisheries management units. Note that initial rockfish harvest estimates were not differentiated into species assemblage or species until 1998 when logbooks began differentiating by pelagic and non-pelagic. Logbooks began to collect data on yelloweye beginning in 2006. Port sampling programs to gather data on species composition of harvests began in 1996 in Southcentral and Kodiak and in 2006 in Southeast.

Figure 1.- Data sources for estimating rockfish harvests and releases in ADF&G commercial fisheries management units. Note that initial rockfish harvest estimates were not differentiated into species assemblage or species until 1998 when logbooks began differentiating by pelagic and non-pelagic. Logbooks began to collect data on yelloweye beginning in 2006. Port sampling programs to gather data on species composition of harvests began in 1996 in Southcentral and Kodiak and in 2006 in Southeast.


SWHS estimates are believed to be biased to some degree. These modelling efforts aim to estimate and correct for that bias with the assumption that logbook records are a census of guided harvests and releases.

SWHS Rockfish release estimates are inferred from the difference between catch and harvest estimates.

Adam noted that the first 5 years (23 years counting the historical data) in the SWHS data set for PWSO seem unreasonable (close to zero and not corroborated with logbook estimates). Adam recommended setting these harvests to unknown, but current model development has included the data. Once a satisfactory model has been identified we will exam the effects of censoring the PWSO data.

Creel Surveys

NA

Guide Logbooks

Sport fishing guides have been required to report their harvest of rockfish for 26 years (1998-2023). Reported harvest is also available by assemblage (pelagic vs. non-pelagic). Harvest of yelloweye and “other” (non-pelagic, non-yelloweye) rockfish were reported separately beginning in 2006.

Logbooks also record the number of rockfish released for the same categories. However, the reliability of the release data is somewhat questionable as reported releases are generally far lower than that estimated by the SWHS. As such several treatments of the data are considered.

Logbook versus SWHS estimates

Estimates of guided harvests and releases from the SWHS do not align with the census from charter logbooks. Logbook harvest reports are generally considered reliable and are used to assess the bias in SWHS reports. However, there is even greater disparity between release estimates in the two sources and it is debatable whether logbook releases should be treated as a census. The Howard et al. (2020) methods do treat the logbook release data as “true” and thus are considerably less than would be estimated from the SWHS data.

**Figure 2.**- SWHS harvest (left) and release (right) estimates from guided trips (x-axis) versus repoted harvests from charter logbooks (y-axis).

Figure 2.- SWHS harvest (left) and release (right) estimates from guided trips (x-axis) versus repoted harvests from charter logbooks (y-axis).


A note on model development

To evaluate the discrepancy in apparent bias in harvest and release data, several models were explored to estimate releases during model development. One method (\(LB_{fit}\)) considers the logbook release data to be reliable and a second method (\(LB_{cens}\)) treated the logbook release data as estimates of the minimum released, thus giving more weight to SWHS release estimates. A third method (\(LB_{hyb}\)) is a hybrid approach that treats reported releases of yelloweye as reliable but total rockfish and pelagic rockfish releases as minimums. Model development revealed a tension between the total and pelagic logbook releases and the yelloweye logbook releases. This tensions eventually highlighted the different release/retention probabilities between yelloweye and pelagics in the logbook data and prompted the current approach whereby that probability was calculated for the three main species complexes covered in the data: pelagics, yelloweye, and “other”. The methods described here follow the (\(LB_{fit}\)) formulation. Based on model behavior it is unlikely that the (\(LB_{cens}\)) model would work as there would not be enough data to estimate release probabilities. However, it may be worth running the (\(LB_{hyb}\)) approach as a sensitivity test at the very least.

Composition data

Harvest sampling data exists from Gulf of Alaska areas since 1996 and from Southeast Alaska areas since 2006. Port sampling data is comprised of the number of total rockfish, pelagic and non-pelagic rockfish, black rockfish and yelloweye rockfish. In Southeast Alaska, the number of Demersal Shelf Rockfish (DSR, of which yelloweye are one species) and slope rockfish are also recorded.

Process equations

The true harvest \(H_{ay}\) of rockfish for area \(a\) during year \(y\) is assumed to follow a temporal trend defined by a penalized spline:

\[\begin{equation} \textrm{log}(H_{ay})~\sim~\textrm{Normal}(f(a,y), {\sigma_H}) \end{equation}\]

where \(f(a,y)\) in a p-spline basis with 7 components (knots) and a second degree penalty. The variance, \(\sigma_H\), was given a normal prior with a mean and standard deviation of 0.25 and 1, respectively.

Charter and private harvest \(H_{ayu}\) (where u = 1 for charter anglers and u = 2 for private anglers) is a fraction of total annual harvest in each area:

\[\begin{equation} H_{ay1}~=~H_{ay}P_{(user)ay1}\\H_{ay2}~=~H_{ay}(1-P_{(user)ay1}) \end{equation}\]

where \(P_{(user)ay1}\) is the fraction of the annual harvest in each area taken by charter anglers. \(P_{(user)ay1}\) was modeled hierarchically across years as:

\[\begin{equation} P_{(user)ay1}~\sim~\textrm{beta}(\lambda1_a, \lambda2_a) \end{equation}\]

with non-informative priors on both parameters.

Annual black rockfish harvest \(H_{(black)ayu}\) for each area and user group is:

\[\begin{equation} H_{(black)ayu}~=~H_{ayu}P_{(pelagic)ayu}P_{(black|pelagic)ayu} \end{equation}\]

where \(P_{(pelagic)ayu}\) is the fraction of the annual harvest for each area and user group that was pelagic rockfish and \(P_{(black|pelagic)ayu}\) is the fraction of the annual harvest of pelagic rockfish for each area and user group that was black rockfish.

The southeast region also tracks two other non-pelagic rockfish assemblages, demersal shelf rockfish (DSR, which includes yelloweye) and slope rockfish. For the southeast region the harvest of those two assemblages is thus

\[\begin{equation} H_{(DSR)ayu}~=~H_{ayu}(1-P_{(pelagic)ayu})P_{(DSR|non-pelagic)ayu}\\ H_{(slope)ayu}~=~H_{ayu}(1-P_{(pelagic)ayu})P_{(slope|non-pelagic)ayu}\\ \end{equation}\]

where \(P_{(DSR|non-pelagic)ayu}\) and \(P_{(slope|non-pelagic)ayu}\) are the fractions of the annual harvest of non-pelagic rockfish for each area and user group that were DSR and slope rockfish, respectively.

Annual yelloweye rockfish harvest \(H_{(yelloweye)ayu}\) for each area and user group is calculated differently for central/Kodiak areas and southeast areas. For central and Kodiak areas yelloweye rockfish harvests are calculated as

\[\begin{equation} H_{(yelloweye)ayu}~=~H_{ayu}(1-P_{(pelagic)ayu})P_{(yelloweye|non-pelagic)ayu} \end{equation}\]

where \(P_{(yellow|non-pelagic)ayu}\) is the fraction of the annual harvest of non-pelagic rockfish for each area and user group that was yelloweye rockfish.

For southeast areas yelloweye harvests are a fraction of the DSR harvests such that

\[\begin{equation} H_{(yelloweye)ayu}~=~H_{(DSR)ayu}P_{(yelloweye|DSR)ayu} \end{equation}\]

The composition parameters \(P_{(comp)ayu}\), were modeled using a logistic curve that would allow hindcasting without extrapolating beyond the limit of observed values such that:

\[\begin{equation} \textrm{logit}(P_{(comp)ayu})~=~\beta0_{(comp)ayu} + \frac{\beta1_{(comp)ayu}}{(1 + exp(\beta2_{(comp)ayu}*(y - \beta3_{(comp)ayu})))} + \beta4_{(comp)ayu}*I(u=private)+re_{(comp)ayu} \end{equation}\]

where the \(\beta\) parameters define the intercept, scaling factor, slope, inflection point and private angler effect, respectively, \(y\) is the year index, \(I(u=private)\) is an index variable which is 1 when the user groups is private and 0 otherwise and \(re_{(comp)ayu}\) is a random effect with a non-informative prior. \(\beta\) parameters were modeled hierarchically by region. When \(\beta\) parameters were inestimable as a result of no discernible change in composition over the observed time period. \(\beta1\) (scaling factor) and \(\beta2\) (slope) were fixed to 0 so that the long term mean value was used for hindcasting.

The true number of released rockfish \(R_{ayu}\) were based on the proportion of the total catch harvested, \(pH_{(comp)ayu}\), by area, year, user group and species grouping. Because release data from the SWHS is for all rockfish and the release data from logbooks is only subdivided into pelagics, yelloweye and “other” (non-pelagic, non-yelloweye), we only estimated \(pH_{(comp)ayu}\) for those categories. Thus, converting \(H_{(comp)ayu}\) to total catches by user group, \(C_{(comp)ayu}\), with \(pH_{(comp)ayu}\) results in estimates of total releases such that

\[\begin{equation} R_{(comp)ayu}~=~ C_{(comp)ayu} - H_{(comp)ayu} ~=~ \frac{H_{(comp)ayu}}{pH_{(comp)ayu}} - H_{(comp)ayu} \end{equation}\]

with total releases equal to the sum of the compositional releases. For non-yelloweye DSR and Slope rockfish assemblages in Southeast Alaska \(R_{(DSR)ayu}\) and \(R_{(slope)ayu}\) were estimated from \(R_{(other)ayu}\) using the species composition data from the harvest, thus assuming that slope and DSR assemblages were caught and released at the same rates.

The proportion harvest parameters for \(pH_{(comp)ayu}\) were modeled using a logistic curve that would allow hindcasting based on trends in the data without extrapolating beyond the range of observed values such that

\[\begin{equation} \textrm{logit}(pH_{(pH)ayuc})~=~\beta0_{(pH)ayu} + \frac{\beta1_{(pH)ayuc}}{(1 + exp(\beta2_{(pH)ayuc}*(y - \beta3_{(pH)ayuc})))} + \beta4_{(pH)ayuc}*I(u=private)+re_{(pH)ayuc} \end{equation}\]

A random effect term allowed estimation during the historical period when data is available, but the curve defined by the above equation determined release estimates between 1977 and 1990. As with the compositional trends, \(\beta\) parameters were modeled hierarchically by region. When \(\beta\) parameters were inestimable as a result of no discernable change in harvest probability over the observed time period, \(\beta1\) (scaling factor) and \(\beta2\) (slope) were fixed to 0 so that the long term mean value was applied.

Release mortality (i.e., the number of released rockfish expected to die) was calculated assuming fixed mortality rates developed in each of the regions. Deep water release (DWR) devices were mandated for charter fleets in 2013 and rates were derived from CITATION. Southeast applies basic rates estimated in these studies while Southcentral and Kodiak rates were derived by using historical depth-of-release data to adjust the rates based on area and user group.

The total number of mortalities by year, area, user and species/species assemblage in numbers was calculated by summing harvests and release mortality such that

\[\begin{equation} M_{(comp)ayu}~=~ H_{(comp)ayu} + m_{R-(comp)ayu} * R_{(comp)ayu} \end{equation}\]

where \(m_{R-(comp)ayu}\) is the release mortality rate by year, area, user and species (Figure XX).

Total removals in biomass were converted using the average weight of fish from port sampling?. A minimum sample size per year of X fish was used as the cutoff for including in the data set. Weights were modeled hierarchically to estimate weights in years when data was missing. The total biomass of removals by year, area, user and species was thus

\[\begin{equation} B_{(comp)ayu}~=~ \overline{wt}_{(comp)ayu} * M_{(comp)ayu} \end{equation}\]

where \(\overline{wt}_{(comp)ayu}\) is the mean weight by species, area, user and year.

Observation equations

SWHS estimates of annual rockfish harvest \(\widehat{SWHS}_H{ay}\) were assumed to index true harvest:

\[\begin{equation} \widehat{SWHS}_H{ay}~\sim~\textrm{LogNormal}\left(\textrm{log}(H_{ay}b_{ay}), \sigma_{SWHSHay}^2\right) \end{equation}\]

where bias in the SWHS harvest estimates \(b_H{ay}\) is modeled hierarchically across years as:

\[\begin{equation} b_H{ay}~\sim~\textrm{Normal}(\mu_H{(b)a}, \sigma_H{(b)a}) \end{equation}\]

with non-informative priors on both parameters.

SWHS estimates of guided angler harvest \(\widehat{SWHS}_H{ay1}\) are related to total harvest by:

\[\begin{equation} \widehat{SWHS}_H{ay1}~\sim~\textrm{LogNormal}\left(\textrm{log}(H_{ay1}b_{ay}), \sigma_{SWHS_{ay1}}^2\right) \end{equation}\]

Reported guide logbook harvest \(\widehat{LB}_H{ay}\) is related to true harvest as:

\[\begin{equation} \widehat{LB}_H{ay}~\sim~\textrm{Poisson}(H_{ay1})\\ \widehat{LB}_H{(pelagic)ay}~\sim~\textrm{Poisson}(H_{ay1}P_{(pelagic)ay1})\\ \widehat{LB}_H{(yelloweye)ay}~\sim~\textrm{Poisson}(H_{(yelloweye)ay1})\\ \widehat{LB}_H{(nonpel,nonye)ay}~\sim~\textrm{Poisson}(H_{(nonpel,nonye)ay1})\\ \end{equation}\]

Note that for central and Kodiak areas \(H_{(nonpel,nonye)ay1}\) is equal to the total harvest minus pelagic and yelloweye harvests. For southeast areas \(H_{(nonpel,nonye)ay1}\) is equal to the sum of the DSR and slope harvests minus yelloweye harvests.

SWHS estimates of annual rockfish releases \(\widehat{SWHS}_R{ay}\) were assumed to index true releases in a similar fashion and thus modeled similarly. As such, the release data are related to true releases just as harvests were modeled such that:

\[\begin{equation} \widehat{LB}_R{ay}~\sim~\textrm{Poisson}(R_{ay1})\\ \widehat{LB}_R{(pelagic)ay}~\sim~\textrm{Poisson}(R_{ay1}P_{(pelagic)ay1})\\ \widehat{LB}_R{(yelloweye)ay}~\sim~\textrm{Poisson}(R_{(yelloweye)ay1})\\ \widehat{LB}_R{(nonpel,nonye)ay}~\sim~\textrm{Poisson}(R_{(nonpel,nonye)ay1})\\ \end{equation}\]

Because logbook release data is more questionable and demonstrates greater disagreement with SWHS estimates (Figure 1), a second approaches was considered that loosened the assumption that logbook releases were a census. Methods explored to develope \(LB_{hyb}\) and \(LB_{cens}\) models are detailed at the end of this section.

SWHS estimates of guided angler release \(\widehat{SWHS}_R{ay1}\) is modeled the same as harvests.

SWHS release bias was modeled independently of the harvest bias \(b_H{ay}\) such that

\[\begin{equation} b_R{ay}~\sim~\textrm{Normal}(\mu_R{(b)a}, \sigma_R{(b)a}) \end{equation}\]

where bias in the SWHS release estimates \(b_R{ay}\) is modeled hierarchically across years as:

\[\begin{equation} b_R{ay}~\sim~\textrm{Normal}(\mu_R{(b)a}, \sigma_R{(b)a}) \end{equation}\]

with non-informative priors on both parameters.

The number of pelagic rockfish sampled in harvest sampling programs \(x_{(pelagic)ayu}\) follow a binomial distribution:

\[\begin{equation} x_{(pelagic)ayu}~\sim~\textrm{Binomial}(P_{(pelagic)ayu}, N_{ayu}) \end{equation}\]

where \(N_{ayu}\) is the total number of rockfish sampled in area \(a\) during year \(y\) form user group \(u\). The number of black rockfish sampled in harvest sampling programs was thus a proportion of the pelagic harvests

\[\begin{equation} x_{(black)ayu}~\sim~\textrm{Binomial}(P_{(black)ayu}, N_{ayu}^{pel}) \end{equation}\]

Yelloweye rockfish in Southcentral and Kodiak were modeled similarly as a proportion of the total number of non-pelagics such that

\[\begin{equation} x_{(yellow_{R2})ayu}~\sim~\textrm{Binomial}(P_{(yellow_{R2})ayu}, N_{ayu}^{nonpel}) \end{equation}\]

Southeast areas have several other non-pelagic groupings such that DSR and slope rockfish are a proportion of non-pelagics

\[\begin{equation} x_{(DSR)ayu}~\sim~\textrm{Binomial}(P_{(DSR)ayu}, N_{ayu}^{nonpel}) \end{equation}\]

and

\[\begin{equation} x_{(slope)ayu}~\sim~\textrm{Binomial}(P_{(slope)ayu}, N_{ayu}^{nonpel}) \end{equation}\]

with yelloweye in southeast a proportion of the DSR harvest

\[\begin{equation} x_{(yellow_{R1})ayu}~\sim~\textrm{Binomial}(P_{(yellow_{R1})ayu}, N_{ayu}^{DSR}). \end{equation}\].

Kodiak has limited port sampling beyond the main harbors but has a robust hydroacoustic survey that is used to quantify black rockfish abundance across the management area and uses stereocameras to derive species compositions of the hydroacoustic data. This data was used as supplementary data to further inform the model to the proportion of pelagic rockfish that are black in Kodiak areas. Angler landings in Kodiak show a higher proportion of black rockfish relative to the hydroacoustic survey and thus the proportion of black rockfish in the hydroacoustic sample related to the true proportion such that

\[\begin{equation} P_{(black|pelagic)ayu}^{HA} ~\sim~ P_{(black|pelagic)ayu} + ae_{au} \end{equation}\].

where \(ae_{au}\) is the angler effect for each area and user group modeled hierarchically around a mean of 0. Predicted \(P_{(black|pelagic)ayu}^{HA}\) assumed a beta distribution such that

\[\begin{equation} P_{(black|pelagic)ayu}^{HA} ~\sim~ beta(\alpha_{HA},\beta_{HA}) \end{equation}\]

where

\[\begin{equation} \alpha_{HA} ~=~ (P_{(black|pelagic)ayu}^{HA})^2 * \frac{1 - P_{(black|pelagic)ayu}^{HA}}{\frac{var_{P_{HA}}-1}{P_{(black|pelagic)ayu}^{HA}}}, \end{equation}\]

\[\begin{equation} \beta_{HA} ~=~ (\alpha_{HA}) * \frac{1}{P_{(black|pelagic)ayu}^{HA} - 1}, \end{equation}\]

\[\begin{equation} var_{P_{HA}} ~=~ (P_{(black|pelagic)ayu}^{HA} * cvP_{(black|pelagic)ayu}^{HA})^2 \end{equation}\]

where \(cvP_{(black|pelagic)ayu}^{HA}\) is the coefficient of variation for the hydroacoustic proportions

\[\begin{equation} cvP_{(black|pelagic)ayu}^{HA} ~=~ \frac{\sqrt{varP_{(black|pelagic)ayu}^{HA}}}{P_{(black|pelagic)ayu}^{HA}} \end{equation}\]

and the variance is approximated using the XXXX method as

\[\begin{equation} varP_{(black|pelagic)ayu}^{HA} ~=~ (\frac{1}{n_{pel}})^2 * varN_{black} + (\frac{n_{black}}{n_{pel}^2}) * varN_{pel} \end{equation}\]

where \(varN_{black}\) and \(varN_{black}\) are the variance of the estimated number of black and pelagic rockfish in the hydroacoustic survey, respectively (CITATION).

The average weight of rockfish by species, user, area and year was modeled hierarchically at several levels within regions such that

\[\begin{equation} wt_{(comp)ayu} ~\sim~ Normal(wt_{(comp)au},\sigma_{wt_{(comp)au}}) ~\sim~ Normal(wt_{(comp)a},\sigma_{wt_{(comp)a}}) ~\sim~ Normal(wt_{(comp)region},\sigma_{wt_{(comp)region}}) \end{equation}\]

where region refers to Kodiak, Southcentral and Southeast. Mean weights and variance were calculated as XXX.

Alternative likelihoods for release estimates

To loosen the assumption that logbook release data are an effective census of true releases I explored models that treated logbook release estimates as a lower bound on the estimate of true releases. In a hybrid approach yelloweye and non-pelagic releases are regarded as a reliable census (given the emphasis and ease of recording these fish) but censors the pelagic and total rockfish release estimates (where censoring implies NA values) such that

\[\begin{equation} \text{censored} \widehat{LB}_R{ay}~\sim~\textrm{LogNormal}\left(\log(R_{ay}), 1\right)\text{T}\left(\widehat{LB}_R{ay}, \infty\right) \\ \text{censored} \widehat{LB}_R{(pelagic)ay}~\sim~\textrm{LogNormal}\left(\log(R_{(pelagic)ay}), 1\right)\text{T}\left(\widehat{LB}_R{(pelagic)ay}, \infty\right) \\ \widehat{LB}_R{(yelloweye)ay}~\sim~\textrm{Poisson}(R_{(yelloweye)ay1})\\ \widehat{LB}_R{(nonpel,nonye)ay}~\sim~\textrm{Poisson}(R_{(nonpel,nonye)ay1})\\ \end{equation}\]

This model formulation failed such that there was not enough data to inform pelagic releases and the values did not seem valid. A second approach is being explored that fits the censored data using a lognormal distribution centered around the logbook release value, but also with a lower bound equal to the number of recorded releases such that

\[\begin{equation} \widehat{LB}_R{ay}~\sim~\textrm{LogNormal}\left(\log(R_{ay}), \sigma_{Ray1}^2\right)\text{T}\left(\widehat{LB}_R{ay}, \infty\right) \\ \widehat{LB}_R{(pelagic)ay}~\sim~\textrm{LogNormal}\left(\log(R_{(pelagic)ay}), \sigma_{Ray1}^2\right)\text{T}\left(\widehat{LB}_R{(pelagic)ay}, \infty\right) \\ \widehat{LB}_R{(yelloweye)ay}~\sim~\textrm{Poisson}(R_{(yelloweye)ay1})\\ \widehat{LB}_R{(nonpel,nonye)ay}~\sim~\textrm{Poisson}(R_{(nonpel,nonye)ay1})\\ \end{equation}\]

Logbook data is assumed to be a census and as such there is no estimate of uncertainty. As of this writing, several methods are being examined for how to treat \(\sigma_{Ray1}^2\). Models are being run that attempt to allow the model to estimate \(\sigma_{Ray1}^2\) with priors. A simple model applies a uniform prior (0.1,50) to \(\sigma_{Ray1}^2\). A hierarchichal approach based on regions is also being examined whereby \(\sigma_{Ray1}^2\) is lognormally distributed around hyper priors \(\mu_{\sigma_R}\) and \(\sigma_{\sigma_R}\). Initial efforts have applied a uniform prior on \(\mu_{\sigma_R}\) between 1 and 50 and on \(\sigma_{\sigma_R}\) between 0 and 10.

Priors.

Priors range from uninformative to very informative or fixed. Priors for compositional logistic parameters are in Table 2 and proportion harvest logistic parameters are in Table 3. Until I figure out how to make a nice table in Rmarkdown, please refer to the attached spreadsheet and comp and harvp tabs.

Unresolved issues and outstanding questions:

  1. Reliability of unguided release estimates: These estimates have the least information feeding them and rely on the bias-corrected SWHS release estimates of all rockfish and the trends in release probability evident in the logbook data. The \(\beta4\) term that estimates the guided/unguided effect was given a very informative prior that tied the release probability of private anglers tightly to that of the charter fleet. The model is then trying to balance the three species complex estimates (pelagic, yelloweye and other) so that they sum to the total unguided releases estimated from the bias corrected SWHS data. For the most part this seems reasonable and appears to work, but there are certain areas where the estimates are “wonky”:

    1. Total rockfish releases more or less align with the total releases estimated with the Howard methods. Presumably, much of the discrepancy results from the substantial bias in release estimates from the SWHS. Interestingly, the logbook data indicates that the SWHS underestimates harvests but overestimates releases by a significant factor (Figure 23 and 24 below).
    2. In general, release estimates of black rockfish are substantially lower than those calculated using the Howard methods. Presumably, much of this derives from the bias correction of the SWHS release estimates.
    3. Yelloweye release estimates also differ considerably from the Howard estimates, but unlike black rockfish are sometimes lower and sometimes higher. Two areas in particular are a little head scratching. Yelloweye releases in the Kodiak Northeast area in particular are significantly lower than for guided anglers with the same pattern evident in Cook Inlet to a lesser extent. Cook Inlet yelloweye numbers are very small, so this is a sample size issue with little consequence. The cause of the Kodiak northeast estimates is not clear to me at this point, but the model estimates the proportion harvested by unguided anglers to be much lower than that of guided anglers, even with the informative prior on \(\beta4\). This must be a product of the bias corrected SWHS release estimates and how the model is partitioning that estimate into the 3 species complexes, but itis a bit a of head scratcher.
  2. Proportion guided estimates: There is not much data on this proportion prior to 2011 and it is not modeled with any sort of trend as was done for species composition and harvest proportions. With the exception of Cook Inlet and North Gulf Coast areas, there is little, if any, trend apparent in the data and perhaps this approach is the best available given the data available. However, if there are data sources somewhere that could inform this part of the model they could be incorporated.

  3. Prior choices in general need to be vetted. The priors on the logistic curves are fairly informed in an effort to achieve the desired shapes for hindcasting. Ideally, sensitivity testing would occur but the model is very slow to converge. The beta parameters on the logistic curves have required a lot of work on the priors to reach convergence.

  4. Proportion harvest estimates for non-pelagic, non-yelloweye in Kodiak WKMA: I need to adjust the prior on the inflection point, \(\beta3\), so that it is forced to occur after 2006. Right now the model is estimating inflection in two Kodiak areas before that point where there is no data to justify a shift. The current inflection is a result of the hierachichal model.

  5. Proportion pelagic in PWS and CSEO: The parameters for these particular proportions are very slow to converge. For the CSEO, the estimates of the \(\beta\) parameters are similar to the other Southeast areas, but the mixing is poor over the length of the chains. In this case I think they will ultimately converge with a very long model run and the shape of the curve in the model output looks acceptable. For the two PWS areas the model seems to struggle with the disparate proportional data from the logbook and the port sampling. There is some wandering in the chains of the \(\beta0\) and \(\beta1\) terms and spikiness in the \(\beta2\) terms. I’ve been working on constraining the hyperpriors for PWS \(beta2\). Similar to CSEO, it may just entail a very long model run to reach convergence, but the shape of the curves looks reasonable.

Next steps:

Once the model is finalized, harvest and release numbers need to be converted into biomass removals. This is a two step process where release mortality estimates are applied to the release estimates to estimate the number of released rockfish that do not survive. This is based on studies and will reflect the values that the department has been using with the Howard methods. Region 2 (both Southcentral and Kodiak) have release-at-depth estimates from a number of years that they apply across all years and then calculate mortality rates based on those estiates. Southease does not have release-at-depth data and simply applies an assumed rate based on research.

Once release mortality is calculated average weight data is applied to convert numbers to biomass. The plan is to incorporate all of this into the model to propogate uncertainty into the posteriors. However, the model already takes a long time to run and I may explore a simpler approach using the posteriors from the numbers model to speed up processing.

Results

**Figure X.**- Rhat values and proportion of parameters that converged (Rhat < 1.1.)

Figure X.- Rhat values and proportion of parameters that converged (Rhat < 1.1.)

Estimate comparison

Since previous estimates of rockfish harvest have been produced these first 3 graphs will be used to show how the modeled estimates compare to the estimates produced earlier. For total rockfish the estimates are in general agreement although differences are noted. These estimates should be more reliable because they include both SWHS and guide logbook data, handle variance more appropriately, use hierarchical distributions when data is missing, directly consider observation error and are produced using reproducible research.

**Figure 3.**- Total rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 3.- Total rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 3.**- Total rockfish releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 3.- Total rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.


Notes from Adam: When looking at only black rockfish the most significant differences are for the Prince William Sound Inside area. I did not spend a great deal of time tracking this down although it looks like the previous version used bad values for \(P_{(black)ayu}\) for at least unguided anglers. For the moment I would ignore the results for BSIA and SOKO2SAP. I think it is possible to give approximate values for these areas but it will require a little more coding which I have yet to do.

**Figure 4.**- Black rockfish harvests 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 4.- Black rockfish harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.


And black rockfish releases…

**Figure 5.**- Black rockfish releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 5.- Black rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.





**Figure 6.**- Yellow rockfish harvests 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 6.- Yellow rockfish harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 7.**- Yellow rockfish releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 7.- Yellow rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.





**Figure 8.**- DSR rockfish (excluding yelloweye) harvests 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 8.- DSR rockfish (excluding yelloweye) harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 9.**- DSR rockfish releases (including yelloweye) 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 9.- DSR rockfish releases (including yelloweye) 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 11.**- Slope rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 11.- Slope rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 12.**- Slope rockfish releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 12.- Slope rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Total Biomass Removal Estimates

**Figure 13.**- Black rockfish estimated total removals in lbs in 1996--2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 13.- Black rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.



**Figure 14.**- Yellow rockfish estimated total removals in lbs in 1996--2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 14.- Yellow rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

**Figure 15.**- Pelagic rockfish estimated total removals in lbs in 1996--2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 15.- Pelagic rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.


**Figure 16.**- Non-yelloweye, demersal shelf rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 16.- Non-yelloweye, demersal shelf rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.


**Figure 17.**- Slope rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 17.- Slope rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.


Model fit

Logbook residuals

**Figure 18.**- Residuals from logbook harvests.

Figure 18.- Residuals from logbook harvests.


SWHS residuals

**Figure 19.**- Residuals from SWHS harvests.

Figure 19.- Residuals from SWHS harvests.



**Figure 20.**- Residual of SWHS releases.

Figure 20.- Residual of SWHS releases.

Parameter estimates

P(Charter)

These histograms show the posterior distribution of the mean percent of rockfish harvested by the charter fleet.

**Figure 21.**- Mean percent of harvest by charter anglers.

Figure 21.- Mean percent of harvest by charter anglers.


When considered annually we see the percent of rockfish harvested by the charter fleet follows our data fairly well although the model smooths out the changes and we just do not have much information about this ratio. Prior to 2011 the percent charter is confounded with SWHS bias and should be mostly discounted.

**Figure 22.**- Annual estimates of the percent of harvest by charter anglers for 16 commerical fishing manamgent areas, 1996-2023.

Figure 22.- Annual estimates of the percent of harvest by charter anglers for 16 commerical fishing manamgent areas, 1996-2023.

P(Harvest)

These plots show the fitted logistic line to the proportion of caught rockfish that are harvested. These estimates are used for hindcasting catch estimates based on the harvest data in early years when catch estimates are unavailable.


**Figure 23.**- Annual proportion of pelagic rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.

Figure 23.- Annual proportion of pelagic rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.


**Figure 24.**- Annual proportion of yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.

Figure 24.- Annual proportion of yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.


**Figure 25.**- Annual proportion of non-pelagic, non-yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note, that this is not estimated for Southeast areas because non=pelagics are divided between DSR (including yelloweye) and Slope species.

Figure 25.- Annual proportion of non-pelagic, non-yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note, that this is not estimated for Southeast areas because non=pelagics are divided between DSR (including yelloweye) and Slope species.


## NULL


## NULL

SWHS bias

Figure 23 shows the mean estimate for SWHS bias in harvests and releases. Cook Inlet, North Gulf Coast and North Southeast Inside all look pretty good while most other areas have substantial bias. Prince William Sound Inside has the largest bias. Bias in release estimates is substantial and whereas the SWHS appears to underestimate harvests, it appears to greatly overestimates releases by a factor of 2 or more in most areas as derived from logbook reported releases.

**Figure 28.**- Mean SWHS bias for harvests and catches. Note that a bias < 1 indicates that the SWHS *underestimates* the true value and bias > 1 indicates the survey *overestimates* the true value.

Figure 28.- Mean SWHS bias for harvests and catches. Note that a bias < 1 indicates that the SWHS underestimates the true value and bias > 1 indicates the survey overestimates the true value.


Our estimates of SWHS harvest bias track observations fairly well when he have guided harvest estimates. The estimates of release bias in the SWHS data track observed patterns to an extent, but appear to smooth these more volatile disagreements with the logbook data. Adam postulated in his initial start on this that some of this could be the result of the estimates of the proportion guided. This value was not modelled with a trend and thus applies a constant estimate when hindcasting. Data on these relationships could greatly improve this model.

**Figure 29.**- Annual estimates of SWHS bias in harvests and releases for 16 commerical fishing manamgent areas, 1996-2023. Note that a bias < 1 indicates that the SWHS *underestimates* the true value and bias > 1 indicates the survey *overestimates* the true value.

Figure 29.- Annual estimates of SWHS bias in harvests and releases for 16 commerical fishing manamgent areas, 1996-2023. Note that a bias < 1 indicates that the SWHS underestimates the true value and bias > 1 indicates the survey overestimates the true value.

P(pelagic)

We model the percentage of pelagic rockfish in the harvest because we have the information for charter anglers (via logbooks) starting in 1998. Other than looking at the model estimates you can use Figure 25 to compare the two data streams for pelagic rockfish harvest. In general they are in agreement with major exceptions in Price William Sound inside, Prince William Sound outside (early in the time series) and South Southeast inside.

**Figure 30.**- Annual estimates of the percent of the sport harvest that was pelagic rockfish for 16 commerical fishing manamgent areas, 1996-2023.

Figure 30.- Annual estimates of the percent of the sport harvest that was pelagic rockfish for 16 commerical fishing manamgent areas, 1996-2023.

P(black|pelagic)

Note that in Southeast Alaska we only have composition data starting in 2006. Tania dug up old SE data, but it did not provide any useful data for species apportionment. For the most part, P(black|pelagic) is relatively constant across areas, with the exception of Cook Inlet and NSEI in Southeast AK. It may be worth discussing whether the shifts in those areas is a result of improved or changing species identification rather than actual shift in the species composition of the catch.

**Figure 31.**- Annual estimates of the percent of the sport harvest of pelagic rockfish that were black rockfish for 16 commerical fishing manamgent areas, 1996-2023. Kodiak panels include data from a hydroacoustic survey and the proportion of pelagic rockfish that are black in those areas (red) and the adjusted proportions based on obseved harvests for charter (blue) and private (cyan) users.

Figure 31.- Annual estimates of the percent of the sport harvest of pelagic rockfish that were black rockfish for 16 commerical fishing manamgent areas, 1996-2023. Kodiak panels include data from a hydroacoustic survey and the proportion of pelagic rockfish that are black in those areas (red) and the adjusted proportions based on obseved harvests for charter (blue) and private (cyan) users.

P(yelloweye|non-pelagic / yelloweye|DSR)

**Figure 32.**- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were yelloweye rockfish for 16 commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.

Figure 32.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were yelloweye rockfish for 16 commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.

P(DSR|non-pelagic)

**Figure 33.**- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were DSR rockfish for 6 Southeast commerical fishing manamgent areas, 1996-2023.

Figure 33.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were DSR rockfish for 6 Southeast commerical fishing manamgent areas, 1996-2023.

P(slope|non-pelagic)

**Figure 34.**- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were slope rockfish for 6 southeast commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.

Figure 34.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were slope rockfish for 6 southeast commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.



P(slope|non-pelagic & non-yellowye) For release estimates

**Figure 35.**- Annual estimates of the percent of the sport non-pelagic, non-yelloweye releases that were slope rockfish for 6 southeast commerical fishing manamgent areas, 1996-2023.

Figure 35.- Annual estimates of the percent of the sport non-pelagic, non-yelloweye releases that were slope rockfish for 6 southeast commerical fishing manamgent areas, 1996-2023.



Weight Fits

**Figure 36.**- Mean weights of black rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 36.- Mean weights of black rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


**Figure 37.**- Mean weights of yelloweye rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 37.- Mean weights of yelloweye rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


**Figure 38.**- Mean weights of non-black, pelagic rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 38.- Mean weights of non-black, pelagic rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


**Figure 39.**- Mean weights of non-yelloweye, demersal shelf rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 39.- Mean weights of non-yelloweye, demersal shelf rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


**Figure 40.**- Mean weights of slope rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 40.- Mean weights of slope rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


### Summary of unconverged parameters:

Table X. Unconverged parameters.

variable

Freq

beta0_pelagic

2

beta0_pH

5

beta1_pelagic

2

beta1_pH

3

beta2_pH

3

beta3_pH

2

H_ay

1

H_ayg

1

Hb_ayg

1

Hb_ayu

1

Ho_ay

5

Ho_ayu

8

Hp_ay

1

Hp_ayg

1

Hp_ayu

1

Hs_ayu

2

Hy_ay

1

Hy_ayu

2

lambda_H

2

p_dsr

1

pH

26

R_ay

79

R_ayg

44

R_ayu

68

Rb_ay

76

Rb_ayg

45

Rb_ayu

70

Rd_ay

4

Rd_ayu

5

Rdnye_ay

4

Rdnye_ayu

4

re_pH

1

Ro_ay

30

Ro_ayg

9

Ro_ayu

58

Rp_ay

81

Rp_ayg

46

Rp_ayu

69

Rs_ay

5

Rs_ayg

2

Rs_ayu

10

Ry_ay

23

Ry_ayg

7

Ry_ayu

30

area

variable

year

user

species

Rhat

BSAI

Rp_ayu

9

1.290882

BSAI

Rb_ayu

9

1.290882

BSAI

R_ayu

9

1.290882

BSAI

Rb_ay

9

1.290882

BSAI

Rp_ay

9

1.290882

BSAI

R_ay

9

1.290882

BSAI

Rp_ayu

4

1.290010

BSAI

R_ayu

4

1.290010

BSAI

Rp_ay

4

1.290005

BSAI

R_ay

4

1.290005

BSAI

Rb_ayu

4

1.289991

BSAI

Rb_ay

4

1.289986

BSAI

Ro_ayu

36

1.283799

BSAI

Ro_ay

36

1.283798

BSAI

Rp_ayu

15

1.279603

BSAI

R_ayu

15

1.279533

BSAI

Rb_ayu

15

1.279284

BSAI

Rp_ay

15

1.278822

BSAI

R_ay

15

1.278738

BSAI

Rb_ay

15

1.278502

BSAI

Ro_ayg

2

1.277717

BSAI

Rb_ayu

2

1.270444

BSAI

R_ayu

2

1.269963

BSAI

Rp_ayu

2

1.269955

BSAI

Rb_ay

2

1.269858

BSAI

Rp_ay

2

1.269341

BSAI

R_ay

2

1.269338

BSAI

Ho_ayu

8

1.257737

BSAI

Ho_ay

8

1.255748

BSAI

Ro_ayu

11

1.251183

BSAI

Ro_ay

11

1.251057

BSAI

Rb_ayu

8

1.246354

BSAI

R_ayu

8

1.246025

BSAI

Rp_ayu

8

1.246012

BSAI

Rb_ay

8

1.243249

BSAI

Rp_ay

8

1.242855

BSAI

R_ay

8

1.242846

BSAI

Rb_ayu

13

1.236285

BSAI

Rb_ay

13

1.236215

BSAI

R_ayu

13

1.235608

BSAI

Rp_ayu

13

1.235605

BSAI

Rp_ay

13

1.235566

BSAI

R_ay

13

1.235536

BSAI

Rb_ayg

1

1.234384

BSAI

Rp_ayg

1

1.229161

BSAI

R_ayg

1

1.228421

BSAI

Ro_ayu

3

1.218695

BSAI

Ro_ay

3

1.218069

BSAI

Rb_ayu

5

1.210558

BSAI

Rb_ay

5

1.209666

BSAI

R_ayu

5

1.209461

BSAI

Rp_ayu

5

1.209381

BSAI

Rp_ay

5

1.208538

BSAI

R_ay

5

1.208469

BSAI

Ro_ayu

25

1.207615

BSAI

Ro_ay

25

1.207480

BSAI

R_ayu

36

1.207381

BSAI

R_ay

36

1.207335

BSAI

Ry_ay

1

1.201058

BSAI

Ry_ayu

1

1.200334

BSAI

Ro_ayu

39

1.191666

BSAI

Ro_ay

39

1.190157

BSAI

Rp_ayg

3

1.186557

BSAI

R_ayg

3

1.186250

BSAI

Hy_ayu

8

1.185435

BSAI

Ro_ay

2

1.185136

BSAI

Hy_ay

8

1.182659

BSAI

Rb_ayg

3

1.181101

BSAI

Rb_ayu

6

1.175008

BSAI

Rb_ay

6

1.172839

BSAI

Rb_ayu

21

1.167033

BSAI

Ry_ayu

37

1.166681

BSAI

Ry_ay

37

1.166668

BSAI

Ry_ayg

1

1.166595

BSAI

Rp_ayu

21

1.166246

BSAI

R_ayu

6

1.165847

BSAI

Rp_ayu

6

1.165786

BSAI

R_ayu

21

1.165651

BSAI

R_ay

6

1.163853

BSAI

Rp_ay

6

1.163819

BSAI

Rb_ay

21

1.159281

BSAI

Rp_ay

21

1.158309

BSAI

R_ay

21

1.157407

BSAI

Ho_ay

2

1.157298

BSAI

Ro_ayu

18

1.156522

BSAI

Ro_ayu

2

1.156275

BSAI

Ro_ay

18

1.156257

BSAI

Ho_ayu

2

1.155587

BSAI

Ro_ay

19

1.154809

BSAI

Ro_ayu

19

1.154731

BSAI

Ro_ayg

12

1.154203

BSAI

R_ayu

12

1.151978

BSAI

Rp_ayu

12

1.151849

BSAI

Rb_ayu

12

1.149345

BSAI

Rb_ayg

9

1.144664

BSAI

R_ay

12

1.142157

BSAI

Rp_ay

12

1.142116

BSAI

Rb_ay

12

1.140912

BSAI

Ho_ayu

29

1.140230

BSAI

Ho_ay

29

1.139806

BSAI

Ry_ayg

9

1.139740

BSAI

Ro_ayg

8

1.139681

BSAI

Ry_ayg

3

1.137469

BSAI

Ro_ay

7

1.136217

BSAI

Ro_ayu

7

1.136072

BSAI

Rp_ayg

9

1.135049

BSAI

R_ayg

9

1.134930

BSAI

Ry_ayu

10

1.134833

BSAI

lambda_H

1.134712

BSAI

Ry_ay

10

1.134602

BSAI

Ry_ayu

14

1.134481

BSAI

Ry_ay

14

1.134327

BSAI

Ry_ayu

23

1.125563

BSAI

Ry_ay

23

1.125519

BSAI

Ry_ayu

30

1.125061

BSAI

Ry_ay

30

1.125024

BSAI

R_ayu

20

1.123989

BSAI

Rp_ayu

20

1.123780

BSAI

R_ay

20

1.121332

BSAI

Rp_ay

20

1.121288

BSAI

Ho_ayu

11

1.112182

BSAI

Ho_ay

11

1.112132

BSAI

Ro_ayu

22

1.111818

BSAI

Hb_ayg

6

1.110992

BSAI

Rb_ayu

10

1.110391

CI

Ro_ayg

1

1.272463

CI

Ro_ay

1

1.268653

CI

Ro_ayu

2

1.189475

CI

Ro_ayu

4

1.163919

CI

Ro_ayu

13

1.140080

CI

Ry_ayu

1

1.138349

CI

Ro_ayg

5

1.131285

CI

Ro_ay

5

1.127032

CI

Ro_ay

2

1.122630

CI

Ro_ayg

2

1.113328

EWYKT

Rdnye_ayu

46

1.265797

EWYKT

Rdnye_ay

46

1.265779

EWYKT

Tdnye_ayu

46

1.265288

EWYKT

Tdnye_ay

46

1.265211

EWYKT

Bdnye_ayu

46

1.264720

EWYKT

Bdnye_ay

46

1.264600

EWYKT

Ro_ayu

46

1.264014

EWYKT

Ro_ay

46

1.263979

EWYKT

Ry_ayu

44

1.236950

EWYKT

Ry_ay

44

1.236872

EWYKT

Rd_ayu

44

1.229010

EWYKT

Rd_ay

44

1.228482

EWYKT

Rs_ayu

46

1.221395

EWYKT

Ts_ayu

46

1.219311

EWYKT

Rs_ay

46

1.210705

EWYKT

R_ayu

44

1.210192

EWYKT

R_ay

44

1.210128

EWYKT

Rdnye_ayu

1

1.202901

EWYKT

Ro_ayu

1

1.202697

EWYKT

Ts_ay

46

1.195727

EWYKT

Rd_ayu

1

1.195471

EWYKT

Ts_ayu

4

1.170472

EWYKT

Rs_ayu

7

1.170280

EWYKT

Rs_ayu

33

1.168194

EWYKT

Rdnye_ayu

44

1.167328

EWYKT

Hs_ayu

4

1.165812

EWYKT

Rdnye_ay

44

1.156810

EWYKT

Rs_ayu

22

1.151200

EWYKT

p_dsr

45

2

1.150915

EWYKT

Hs_ayu

2

1.146403

EWYKT

Rdnye_ay

1

1.144845

EWYKT

Ro_ay

1

1.143857

EWYKT

Rs_ayu

4

1.140399

EWYKT

Ts_ayu

2

1.133536

EWYKT

Ro_ayu

44

1.130453

EWYKT

Ro_ay

44

1.128146

EWYKT

Tdnye_ayu

44

1.125013

EWYKT

Bdnye_ayu

44

1.124481

EWYKT

Tdnye_ay

47

1.122803

EWYKT

Rdnye_ayu

47

1.122803

EWYKT

Rdnye_ay

47

1.122803

EWYKT

Tdnye_ayu

47

1.122803

EWYKT

Ro_ay

47

1.122801

EWYKT

Ro_ayu

47

1.122801

EWYKT

R_ayu

47

1.121353

EWYKT

R_ay

47

1.121353

EWYKT

Bdnye_ay

47

1.121151

EWYKT

Bdnye_ayu

47

1.121150

EWYKT

Rd_ay

47

1.121104

EWYKT

Rd_ayu

47

1.121104

EWYKT

Ts_ay

47

1.117765

EWYKT

Rs_ay

47

1.117763

EWYKT

Ts_ayu

47

1.117763

EWYKT

Rs_ayu

47

1.117763

EWYKT

Rs_ayu

32

1.117500

EWYKT

Rs_ayu

15

1.117409

EWYKT

Rs_ayu

44

1.115771

EWYKT

Ry_ayu

14

1.112425

EWYKT

Rs_ay

32

1.111708

EWYKT

Tdnye_ay

44

1.110813

NG

beta0_pH

1

1.233030

NG

R_ay

5

1.215922

NG

Rp_ay

5

1.215777

NG

Rb_ay

5

1.209447

NG

Rp_ayg

5

1.199375

NG

R_ayg

5

1.199033

NG

Rp_ay

4

1.198491

NG

R_ay

4

1.198234

NG

Rb_ay

4

1.195230

NG

Rb_ayg

5

1.193023

NG

Rp_ay

6

1.190402

NG

R_ay

6

1.190233

NG

Rb_ay

6

1.187746

NG

beta1_pH

1

1.183694

NG

R_ay

3

1.183082

NG

Rp_ay

3

1.182929

NG

Rb_ay

1

1.182126

NG

Rb_ay

3

1.181935

NG

Rb_ay

7

1.180147

NG

R_ay

7

1.179065

NG

Rp_ay

7

1.179024

NG

R_ay

1

1.178594

NG

Rp_ay

1

1.178534

NG

Rb_ay

9

1.177762

NG

R_ay

9

1.177502

NG

pH

5

1

1

1.177044

NG

Rp_ay

9

1.176766

NG

Rb_ay

2

1.176505

NG

Rp_ay

2

1.172308

NG

R_ay

2

1.171433

NG

Rb_ay

14

1.170401

NG

Rp_ay

14

1.168989

NG

R_ay

14

1.168314

NG

Rp_ayg

4

1.167158

NG

beta3_pH

1

1.166965

NG

Rp_ay

11

1.166821

NG

R_ay

11

1.166809

NG

Rb_ay

11

1.166576

NG

R_ayg

4

1.166513

NG

R_ay

8

1.165521

NG

Rp_ayg

6

1.165405

NG

Rp_ay

8

1.164991

NG

R_ayg

6

1.164896

NG

Rb_ayg

4

1.164390

NG

Rp_ay

10

1.163874

NG

R_ay

10

1.163751

NG

Rb_ay

15

1.161828

NG

pH

3

1

1

1.161697

NG

Rp_ay

13

1.160864

NG

Rb_ay

8

1.160708

NG

Rb_ayg

6

1.160348

NG

R_ay

13

1.159227

NG

Rb_ay

10

1.157878

NG

Rp_ay

15

1.157714

NG

pH

2

1

1

1.157701

NG

R_ay

15

1.157166

NG

Rp_ayg

3

1.156881

NG

R_ayg

3

1.156737

NG

pH

4

1

1

1.156696

NG

Rb_ay

13

1.156642

NG

Rb_ayg

1

1.156479

NG

pH

14

1

1

1.155857

NG

Rp_ayg

1

1.155708

NG

R_ayg

1

1.155330

NG

Rb_ayg

3

1.155133

NG

pH

6

1

1

1.153787

NG

pH

11

1

1

1.152751

NG

R_ayg

9

1.152635

NG

Rp_ayg

9

1.152007

NG

Rp_ay

12

1.150674

NG

R_ay

12

1.150475

NG

Rb_ayg

9

1.149938

NG

pH

7

1

1

1.149583

NG

Rb_ayg

14

1.149413

NG

Rb_ay

16

1.149073

NG

Rb_ay

12

1.148944

NG

Rb_ayg

2

1.148822

NG

Rp_ayg

14

1.147919

NG

Rp_ay

16

1.147914

NG

R_ay

16

1.147806

NG

R_ayg

14

1.147451

NG

pH

9

1

1

1.146643

NG

pH

1

1

1

1.146634

NG

pH

10

1

1

1.146627

NG

R_ayg

10

1.145815

NG

Rp_ayg

10

1.145040

NG

beta2_pH

1

1.144949

NG

Rp_ayg

7

1.143779

NG

R_ayg

7

1.143777

NG

Rb_ayg

15

1.143662

NG

Rb_ayg

7

1.143302

NG

pH

8

1

1

1.142593

NG

Rp_ayg

2

1.142159

NG

R_ayg

2

1.141810

NG

pH

5

2

1

1.141782

NG

pH

7

2

1

1.139826

NG

Rb_ayg

10

1.139027

NG

pH

4

2

1

1.137993

NG

Rp_ayg

8

1.137788

NG

R_ayg

8

1.137706

NG

Rp_ayg

15

1.136924

NG

Rb_ayu

11

1.136923

NG

pH

13

1

1

1.136846

NG

R_ayg

15

1.136653

NG

pH

9

2

1

1.135538

NG

Rp_ayu

11

1.135237

NG

R_ayg

12

1.133956

NG

Rp_ayg

12

1.133789

NG

Rp_ayu

2

1.133353

NG

Rb_ayu

7

1.132665

NG

Rb_ayg

16

1.132601

NG

Rp_ayu

5

1.132106

NG

Rp_ayu

7

1.132062

NG

Rp_ayg

16

1.131856

NG

Rb_ayg

8

1.131848

NG

R_ayu

11

1.131729

NG

Rb_ayu

5

1.131382

NG

pH

15

1

1

1.130957

NG

R_ayg

16

1.130920

NG

Rb_ayg

12

1.130131

NG

Rb_ayu

1

1.130098

NG

R_ayu

5

1.129955

NG

Rp_ayu

4

1.129529

NG

pH

6

2

1

1.129087

NG

R_ayu

2

1.128928

NG

Rb_ayu

2

1.128246

NG

R_ayu

7

1.127495

NG

Rb_ayu

6

1.127450

NG

pH

3

2

1

1.127271

NG

R_ayu

4

1.127215

NG

Rp_ayu

1

1.126058

NG

Rb_ayu

4

1.125771

NG

Rp_ayg

11

1.125277

NG

Rp_ayu

6

1.125151

NG

R_ayg

11

1.125039

NG

R_ayu

1

1.123660

NG

pH

12

1

1

1.123508

NG

pH

2

2

1

1.123257

NG

Rp_ayu

3

1.123135

NG

Rb_ayg

11

1.122718

NG

R_ayu

6

1.121731

NG

Rp_ay

18

1.120860

NG

R_ayu

3

1.120528

NG

Rb_ayu

3

1.120464

NG

re_pH

23

1

1

1.119971

NG

R_ay

18

1.119924

NG

Rp_ayg

13

1.119143

NG

Rb_ay

18

1.119070

NG

Rb_ayu

9

1.118740

NG

R_ayg

13

1.118634

NG

pH

16

1

1

1.118387

NG

Rb_ayg

13

1.118115

NG

pH

8

2

1

1.118014

NG

pH

11

2

1

1.116168

NG

Rp_ayu

9

1.114228

NG

R_ay

17

1.112806

NG

Rp_ayu

8

1.112410

NG

Rp_ayu

13

1.112104

NG

Rp_ay

17

1.111984

NG

pH

1

2

1

1.111713

NG

Rb_ayu

8

1.111361

NG

R_ayu

9

1.111350

NG

R_ayu

8

1.110397

NSEO

Ry_ayu

45

1.145664

NSEO

Ry_ay

45

1.145585

NSEO

Rd_ayu

45

1.145501

NSEO

Rd_ay

45

1.145400

NSEO

R_ay

45

1.115671

NSEO

R_ayu

45

1.115528

PWSI

Rb_ayu

9

1.192963

PWSI

Rp_ayu

9

1.172341

PWSI

Rb_ay

9

1.163753

PWSI

beta0_pelagic

1.160708

PWSI

Rp_ay

9

1.153602

PWSI

Rp_ay

1

1.149887

PWSI

Rb_ay

1

1.149388

PWSI

Rb_ayu

3

1.144480

PWSI

Rp_ayu

1

1.140083

PWSI

Rb_ayu

1

1.139424

PWSI

beta1_pelagic

1.137392

PWSI

R_ay

1

1.136244

PWSI

Rb_ay

3

1.135432

PWSI

Rp_ayu

3

1.133280

PWSI

beta1_pH

1

1.133235

PWSI

R_ay

9

1.132571

PWSI

beta0_pH

1

1.132087

PWSI

Rp_ayu

8

1.131417

PWSI

Rb_ayg

1

1.131234

PWSI

R_ayu

9

1.129706

PWSI

Rp_ayg

1

1.129316

PWSI

R_ayg

1

1.128393

PWSI

Rb_ayu

2

1.127819

PWSI

Rp_ay

3

1.127200

PWSI

Rb_ay

6

1.125911

PWSI

Rb_ay

2

1.125802

PWSI

Rb_ayu

8

1.125700

PWSI

Rp_ay

10

1.125388

PWSI

Rb_ay

10

1.123108

PWSI

Rp_ay

2

1.122814

PWSI

Rp_ay

8

1.120851

PWSI

Rp_ayu

2

1.120605

PWSI

Rp_ay

6

1.120228

PWSI

Rp_ayg

6

1.118702

PWSI

Rb_ayu

5

1.118531

PWSI

Rb_ayg

6

1.118505

PWSI

R_ayg

6

1.118436

PWSI

Rb_ay

5

1.116902

PWSI

Rp_ay

4

1.116850

PWSI

R_ayg

7

1.116374

PWSI

Rp_ayg

7

1.116192

PWSI

Rb_ayg

4

1.115810

PWSI

Rb_ayg

3

1.115363

PWSI

R_ayg

2

1.114521

PWSI

Rp_ayg

2

1.114257

PWSI

R_ayg

12

1.113864

PWSI

Rp_ayg

12

1.113806

PWSI

Rp_ay

5

1.113067

PWSI

Rb_ayg

2

1.112853

PWSI

Rb_ay

4

1.112413

PWSI

R_ay

2

1.111980

PWSI

Rb_ayu

10

1.111443

PWSI

Rp_ayg

3

1.111249

PWSI

R_ayg

3

1.110989

PWSI

Rb_ay

8

1.110684

PWSI

R_ay

3

1.110539

PWSO

Ro_ayu

6

1.148243

PWSO

Rb_ayg

1

1.145200

PWSO

Rp_ayg

1

1.140680

PWSO

Rp_ayg

11

1.139036

PWSO

Rb_ay

1

1.136135

PWSO

Rp_ay

1

1.133206

PWSO

R_ayg

11

1.131640

PWSO

R_ayg

1

1.129192

PWSO

Rp_ayg

5

1.127268

PWSO

beta0_pelagic

1.125776

PWSO

Rb_ayg

5

1.125654

PWSO

Rp_ayu

9

1.123864

PWSO

Rb_ayu

9

1.122679

PWSO

Rp_ay

11

1.119880

PWSO

Rb_ayu

16

1.119564

PWSO

R_ayg

5

1.119032

PWSO

R_ay

1

1.118454

PWSO

Rb_ay

8

1.117813

PWSO

Rb_ayg

8

1.117700

PWSO

Rp_ayu

16

1.117019

PWSO

Rp_ay

8

1.115025

PWSO

beta0_pH

1

1.114789

PWSO

Rp_ayg

8

1.112932

PWSO

Rb_ayg

11

1.112544

PWSO

Rp_ayu

1

1.112387

PWSO

R_ayu

16

1.111694

PWSO

Rp_ay

5

1.110662

SOKO2SAP

Rb_ay

5

1.291366

SOKO2SAP

Rb_ayu

5

1.291366

SOKO2SAP

R_ay

5

1.291359

SOKO2SAP

Rp_ay

5

1.291359

SOKO2SAP

R_ayu

5

1.291359

SOKO2SAP

Rp_ayu

5

1.291359

SOKO2SAP

R_ay

2

1.291096

SOKO2SAP

Rp_ay

2

1.291096

SOKO2SAP

R_ayu

2

1.291096

SOKO2SAP

Rp_ayu

2

1.291096

SOKO2SAP

Rb_ay

2

1.291095

SOKO2SAP

Rb_ayu

2

1.291095

SOKO2SAP

Rb_ay

7

1.290908

SOKO2SAP

Rb_ayu

7

1.290908

SOKO2SAP

R_ay

7

1.290907

SOKO2SAP

Rp_ay

7

1.290907

SOKO2SAP

R_ayu

7

1.290907

SOKO2SAP

Rp_ayu

7

1.290907

SOKO2SAP

R_ayu

11

1.290876

SOKO2SAP

Rp_ayu

11

1.290876

SOKO2SAP

R_ay

11

1.290876

SOKO2SAP

Rp_ay

11

1.290876

SOKO2SAP

Rb_ayu

11

1.290874

SOKO2SAP

Rb_ay

11

1.290874

SOKO2SAP

R_ay

8

1.290722

SOKO2SAP

Rp_ay

8

1.290722

SOKO2SAP

R_ayu

8

1.290722

SOKO2SAP

Rp_ayu

8

1.290722

SOKO2SAP

Rb_ayu

15

1.290704

SOKO2SAP

Rb_ay

15

1.290704

SOKO2SAP

Rp_ayu

15

1.290702

SOKO2SAP

R_ayu

15

1.290702

SOKO2SAP

Rp_ay

15

1.290702

SOKO2SAP

R_ay

15

1.290702

SOKO2SAP

Rb_ay

8

1.290683

SOKO2SAP

Rb_ayu

8

1.290683

SOKO2SAP

R_ayu

4

1.290515

SOKO2SAP

Rp_ayu

4

1.290515

SOKO2SAP

R_ay

4

1.290515

SOKO2SAP

Rp_ay

4

1.290515

SOKO2SAP

Rb_ayu

4

1.290512

SOKO2SAP

Rb_ay

4

1.290512

SOKO2SAP

R_ayu

12

1.289471

SOKO2SAP

Rp_ayu

12

1.289471

SOKO2SAP

R_ay

12

1.289471

SOKO2SAP

Rp_ay

12

1.289471

SOKO2SAP

Rb_ayu

12

1.289469

SOKO2SAP

Rb_ay

12

1.289469

SOKO2SAP

R_ayu

23

1.280409

SOKO2SAP

R_ay

23

1.280409

SOKO2SAP

Rp_ayu

23

1.280405

SOKO2SAP

Rp_ay

23

1.280405

SOKO2SAP

Rb_ay

23

1.278968

SOKO2SAP

Rb_ayu

23

1.278968

SOKO2SAP

Rb_ayu

6

1.275741

SOKO2SAP

Rb_ay

6

1.275741

SOKO2SAP

R_ayu

6

1.274101

SOKO2SAP

Rp_ayu

6

1.274101

SOKO2SAP

R_ay

6

1.274101

SOKO2SAP

Rp_ay

6

1.274101

SOKO2SAP

R_ayu

19

1.261073

SOKO2SAP

Rp_ayu

19

1.261073

SOKO2SAP

R_ay

19

1.261072

SOKO2SAP

Rp_ay

19

1.261072

SOKO2SAP

Ro_ayu

10

1.257842

SOKO2SAP

Ro_ay

10

1.257451

SOKO2SAP

R_ay

1

1.256044

SOKO2SAP

Rp_ay

1

1.256044

SOKO2SAP

R_ayu

1

1.256044

SOKO2SAP

Rp_ayu

1

1.256044

SOKO2SAP

Rb_ayu

19

1.255329

SOKO2SAP

Rb_ay

19

1.255328

SOKO2SAP

R_ayu

13

1.254543

SOKO2SAP

Rp_ayu

13

1.254543

SOKO2SAP

R_ay

13

1.254543

SOKO2SAP

Rp_ay

13

1.254543

SOKO2SAP

Rb_ayu

13

1.253772

SOKO2SAP

Rb_ay

13

1.253772

SOKO2SAP

Ro_ayu

43

1.249821

SOKO2SAP

Ro_ay

43

1.249803

SOKO2SAP

Rb_ay

1

1.245877

SOKO2SAP

Rb_ayu

1

1.245877

SOKO2SAP

Ry_ayu

10

1.243256

SOKO2SAP

Ry_ay

10

1.243160

SOKO2SAP

Rb_ayu

21

1.241848

SOKO2SAP

Rb_ay

21

1.241815

SOKO2SAP

R_ayu

21

1.239628

SOKO2SAP

Rp_ayu

21

1.239617

SOKO2SAP

R_ay

21

1.239593

SOKO2SAP

Rp_ay

21

1.239582

SOKO2SAP

R_ay

3

1.228479

SOKO2SAP

Rp_ay

3

1.228479

SOKO2SAP

Rp_ayu

3

1.228479

SOKO2SAP

R_ayu

3

1.228479

SOKO2SAP

Rb_ay

3

1.227236

SOKO2SAP

Rb_ayu

3

1.227236

SOKO2SAP

Ry_ayu

3

1.213045

SOKO2SAP

Ry_ay

3

1.212630

SOKO2SAP

Rb_ayu

24

1.205680

SOKO2SAP

Rb_ay

24

1.205678

SOKO2SAP

R_ayu

24

1.203884

SOKO2SAP

R_ay

24

1.203884

SOKO2SAP

Rp_ayu

24

1.203823

SOKO2SAP

Rp_ay

24

1.203823

SOKO2SAP

Ho_ayu

10

1.203601

SOKO2SAP

Ho_ay

10

1.201749

SOKO2SAP

Ro_ayu

21

1.189565

SOKO2SAP

Ro_ay

21

1.189049

SOKO2SAP

Ry_ayu

16

1.172017

SOKO2SAP

Ry_ay

16

1.171837

SOKO2SAP

Ry_ay

43

1.162113

SOKO2SAP

Ry_ayu

43

1.162107

SOKO2SAP

Rb_ay

16

1.156252

SOKO2SAP

Rb_ayu

16

1.156251

SOKO2SAP

R_ay

16

1.154880

SOKO2SAP

Rp_ay

16

1.154879

SOKO2SAP

R_ayu

16

1.154879

SOKO2SAP

Rp_ayu

16

1.154879

SOKO2SAP

R_ayu

28

1.154342

SOKO2SAP

R_ay

28

1.154333

SOKO2SAP

Rb_ayu

28

1.154061

SOKO2SAP

Rb_ay

28

1.154041

SOKO2SAP

Rp_ayu

28

1.152769

SOKO2SAP

Rp_ay

28

1.152744

SOKO2SAP

Ry_ayg

13

1.148164

SOKO2SAP

Ro_ayu

12

1.141899

SOKO2SAP

Ro_ay

12

1.140431

SOKO2SAP

Rb_ay

10

1.139715

SOKO2SAP

Rb_ayu

10

1.139715

SOKO2SAP

R_ay

10

1.139264

SOKO2SAP

Rp_ay

10

1.139264

SOKO2SAP

R_ayu

10

1.139264

SOKO2SAP

Rp_ayu

10

1.139264

SOKO2SAP

Ry_ayu

12

1.131573

SOKO2SAP

Ry_ay

12

1.131307

SOKO2SAP

Rp_ayu

14

1.127827

SOKO2SAP

R_ayu

14

1.127827

SOKO2SAP

Rp_ay

14

1.127827

SOKO2SAP

R_ay

14

1.127827

SOKO2SAP

Rb_ayu

14

1.127474

SOKO2SAP

Rb_ay

14

1.127474

SOKO2SAP

Ry_ayu

13

1.124073

SOKO2SAP

Ry_ay

13

1.124023

SOKO2SAP

Rb_ay

20

1.123955

SOKO2SAP

Rb_ayu

20

1.123949

SOKO2SAP

Ry_ayu

46

1.123901

SOKO2SAP

Ry_ay

46

1.123840

SOKO2SAP

Ry_ayu

20

1.123261

SOKO2SAP

Ry_ay

20

1.123139

SOKO2SAP

Ro_ayu

40

1.120630

SOKO2SAP

Ro_ay

40

1.120466

SOKO2SAP

R_ay

20

1.118476

SOKO2SAP

Rp_ay

20

1.118476

SOKO2SAP

R_ayu

20

1.118470

SOKO2SAP

Rp_ayu

20

1.118469

SOKO2SAP

R_ay

43

1.117218

SOKO2SAP

R_ayu

43

1.117209

SOKO2SAP

Ro_ayu

13

1.116376

SOKO2SAP

Ro_ay

13

1.115539

SOKO2SAP

Ro_ayu

5

1.110047

SSEI

lambda_H

1.263935

SSEI

beta1_pelagic

1.129092

SSEO

Ry_ay

46

1.218173

SSEO

Ry_ayu

46

1.218172

SSEO

Rd_ay

46

1.217975

SSEO

Rd_ayu

46

1.217973

SSEO

R_ayu

46

1.216267

SSEO

R_ay

46

1.216260

SSEO

Rs_ayg

11

1.167874

SSEO

Rs_ayg

7

1.142590

SSEO

Rs_ay

11

1.128667

SSEO

Ry_ayu

4

1.125018

SSEO

Rs_ay

7

1.116366

SSEO

Rs_ayu

9

1.110291

WKMA

Ry_ayu

9

1.236844

WKMA

Ry_ayu

3

1.228827

WKMA

Ro_ayu

1

1.183196

WKMA

Ry_ay

9

1.154021

WKMA

Ro_ayu

23

1.137140

WKMA

Ry_ay

3

1.114451

WKMA

Ro_ayu

24

1.111326

afognak

beta3_pH

1

1.260253

afognak

Ro_ayu

10

1.170968

afognak

Rb_ayg

3

1.165021

afognak

Hp_ay

12

1.156658

afognak

Hp_ayg

12

1.154228

afognak

Hb_ayu

12

1.153333

afognak

Rp_ay

12

1.151642

afognak

Rb_ay

3

1.151367

afognak

R_ay

12

1.149600

afognak

Ro_ayu

15

1.145103

afognak

Rp_ayg

12

1.144675

afognak

H_ayg

12

1.144535

afognak

R_ayg

12

1.144418

afognak

H_ay

12

1.141713

afognak

Ry_ayg

18

1.141009

afognak

Rp_ayg

3

1.140474

afognak

R_ayg

3

1.138615

afognak

Rp_ay

3

1.131140

afognak

R_ay

3

1.128944

afognak

beta0_pH

1

1.126512

afognak

Hp_ayu

12

1.117134

afognak

Ro_ayu

2

1.115216

afognak

Ry_ayu

13

1.114779

afognak

Ry_ayg

12

1.114591

afognak

Rb_ayu

15

1.114563

afognak

Rb_ayu

12

1.113393

eastside

Rb_ayg

3

1.295046

eastside

Rp_ayg

3

1.294933

eastside

Rp_ay

2

1.294367

eastside

Rb_ay

2

1.294356

eastside

R_ay

2

1.294221

eastside

Rp_ayu

2

1.293309

eastside

Rb_ayu

2

1.293270

eastside

R_ayu

2

1.293256

eastside

Rp_ay

6

1.291813

eastside

Rb_ay

6

1.291723

eastside

Rb_ay

7

1.291310

eastside

Rp_ay

7

1.291300

eastside

R_ay

7

1.291284

eastside

Rb_ayu

7

1.291130

eastside

Rp_ayu

7

1.291124

eastside

R_ayu

7

1.291111

eastside

Rp_ayu

6

1.291081

eastside

Rb_ay

9

1.291055

eastside

Rp_ay

9

1.291051

eastside

R_ay

9

1.291047

eastside

Rb_ayu

6

1.291020

eastside

Rb_ayu

9

1.291004

eastside

Rp_ayu

9

1.291000

eastside

R_ayu

9

1.290997

eastside

R_ayg

3

1.290737

eastside

Rp_ayu

13

1.290636

eastside

Rb_ayu

13

1.290635

eastside

Rp_ay

1

1.290384

eastside

Rb_ay

8

1.290179

eastside

Rp_ay

8

1.290139

eastside

R_ay

1

1.290132

eastside

Rp_ayu

8

1.289997

eastside

Rb_ayu

8

1.289967

eastside

Rb_ay

1

1.289915

eastside

Rp_ay

3

1.289597

eastside

Ro_ayu

6

1.289552

eastside

Ro_ayu

23

1.289118

eastside

Rb_ay

3

1.288958

eastside

Rb_ay

13

1.288864

eastside

Rp_ayg

1

1.288833

eastside

Rp_ayu

1

1.288790

eastside

R_ay

3

1.288778

eastside

R_ayu

1

1.288753

eastside

Rp_ay

13

1.288727

eastside

Rb_ayg

1

1.288656

eastside

R_ayu

8

1.288347

eastside

R_ay

8

1.288205

eastside

Rb_ayu

1

1.288158

eastside

Rb_ay

5

1.287902

eastside

Rb_ayg

2

1.287880

eastside

Rp_ay

5

1.287690

eastside

Ro_ayu

13

1.287431

eastside

Rb_ayu

11

1.287417

eastside

Rp_ayu

11

1.287318

eastside

R_ayu

11

1.287153

eastside

Ro_ayu

27

1.287101

eastside

Rp_ayg

2

1.286588

eastside

Rb_ayu

14

1.286545

eastside

Rb_ayg

5

1.286419

eastside

Rp_ayu

14

1.286138

eastside

Rb_ay

11

1.285987

eastside

Rp_ayu

16

1.285899

eastside

Rp_ay

11

1.285601

eastside

Rb_ayu

16

1.285595

eastside

R_ayu

14

1.285544

eastside

Ro_ay

6

1.285505

eastside

R_ayu

6

1.285464

eastside

Rp_ayg

5

1.285437

eastside

Rp_ayu

3

1.284598

eastside

R_ay

11

1.284584

eastside

R_ayg

1

1.284238

eastside

R_ayu

3

1.284206

eastside

Rb_ayu

5

1.284174

eastside

Rp_ayu

5

1.283952

eastside

Rb_ayu

3

1.283435

eastside

R_ay

6

1.282964

eastside

R_ay

5

1.282820

eastside

Rp_ayg

4

1.282806

eastside

Rb_ayg

4

1.282552

eastside

R_ayg

5

1.282381

eastside

R_ayu

16

1.282292

eastside

R_ayg

2

1.280657

eastside

Rb_ayu

12

1.279092

eastside

R_ayu

5

1.279009

eastside

Rp_ayu

12

1.278868

eastside

R_ayu

12

1.278458

eastside

R_ayg

4

1.277775

eastside

Rb_ay

16

1.277529

eastside

Rp_ay

16

1.277124

eastside

Ro_ayu

9

1.275369

eastside

R_ay

13

1.275148

eastside

R_ayu

13

1.275006

eastside

Ro_ay

23

1.273498

eastside

Ro_ay

13

1.273497

eastside

Rb_ay

12

1.272523

eastside

R_ay

16

1.271881

eastside

Rp_ay

12

1.271601

eastside

Rp_ayu

10

1.270465

eastside

Rb_ayu

10

1.269307

eastside

R_ay

12

1.268455

eastside

Rp_ayg

6

1.268108

eastside

R_ayu

10

1.267894

eastside

Rb_ay

14

1.267289

eastside

Ro_ay

27

1.266956

eastside

Rb_ayg

6

1.266892

eastside

Rp_ay

14

1.265346

eastside

Rp_ay

10

1.264351

eastside

Rb_ay

10

1.263335

eastside

Rb_ayg

8

1.263113

eastside

R_ay

14

1.262106

eastside

Rp_ayg

8

1.260622

eastside

Rb_ay

4

1.260089

eastside

R_ay

10

1.259561

eastside

Rp_ay

4

1.259126

eastside

Ry_ayu

24

1.258132

eastside

R_ay

4

1.256218

eastside

Rb_ayg

7

1.255473

eastside

Rp_ayg

7

1.254463

eastside

R_ayg

8

1.252063

eastside

R_ayg

7

1.247124

eastside

Ro_ayu

21

1.242665

eastside

Rb_ayu

4

1.241743

eastside

Rp_ayu

4

1.239435

eastside

R_ayu

4

1.237704

eastside

Ry_ayg

12

1.236156

eastside

Rp_ayg

12

1.235006

eastside

Rb_ayg

12

1.234516

eastside

Ry_ay

12

1.230802

eastside

Ro_ayu

5

1.223664

eastside

R_ayg

6

1.222564

eastside

Rp_ayg

10

1.221605

eastside

Ro_ayg

6

1.220719

eastside

Ro_ayu

22

1.220679

eastside

Rb_ayg

10

1.219024

eastside

R_ayg

12

1.216399

eastside

Ro_ayu

2

1.215199

eastside

Ro_ayu

20

1.214868

eastside

R_ayg

10

1.210478

eastside

Ry_ayu

39

1.206395

eastside

Rp_ayg

13

1.206122

eastside

Rb_ayg

13

1.205562

eastside

Ro_ayu

8

1.205182

eastside

Rb_ayg

9

1.203163

eastside

Rp_ayg

9

1.202499

eastside

Ro_ayu

10

1.202057

eastside

Rb_ayg

11

1.199994

eastside

Rp_ayg

11

1.197956

eastside

Ro_ayu

4

1.196808

eastside

Ry_ayu

22

1.195802

eastside

R_ayg

9

1.192910

eastside

Rp_ayg

14

1.189392

eastside

Rb_ayg

14

1.189022

eastside

R_ayg

13

1.187261

eastside

Hy_ayu

44

1.186387

eastside

Ro_ayu

18

1.184659

eastside

R_ayg

14

1.180841

eastside

R_ayu

23

1.176810

eastside

Ro_ayu

46

1.176147

eastside

R_ay

23

1.173055

eastside

Ro_ay

8

1.171084

eastside

R_ayg

11

1.167759

eastside

Ry_ayu

28

1.166140

eastside

Rp_ayu

17

1.159171

eastside

Rb_ayu

17

1.157665

eastside

Ro_ayu

45

1.156071

eastside

Ro_ayu

40

1.152766

eastside

Ro_ayu

44

1.150816

eastside

Ro_ay

5

1.150626

eastside

Ro_ayu

1

1.149264

eastside

Ry_ayu

46

1.146573

eastside

Ho_ayu

10

1.143538

eastside

Ry_ayu

43

1.142386

eastside

Ho_ayu

35

1.140101

eastside

beta0_pH

1

1.139106

eastside

Ry_ay

43

1.137509

eastside

Ro_ay

45

1.136205

eastside

beta2_pH

3

1.135546

eastside

R_ayu

18

1.134483

eastside

Ho_ayu

14

1.130487

eastside

Rp_ayg

15

1.129422

eastside

Rb_ayg

15

1.129238

eastside

Rp_ayu

18

1.126552

eastside

beta1_pH

1

1.125141

eastside

Rb_ay

17

1.122671

eastside

Ro_ayu

35

1.122571

eastside

Rp_ay

17

1.121689

eastside

Rb_ayu

18

1.121326

eastside

Ro_ayu

37

1.118705

eastside

Rb_ayg

16

1.114210

eastside

R_ayu

15

1.114124

eastside

Rp_ayu

15

1.113221

eastside

Ro_ayu

7

1.111312

eastside

Ry_ay

24

1.110074

northeast

beta2_pH

3

1.241595

northeast

Ro_ayu

1

1.205650

northeast

Ro_ayu

3

1.193784

northeast

Ro_ayg

5

1.187351

northeast

Ro_ay

5

1.166287

northeast

Ry_ayu

8

1.136765

northeast

Ro_ayu

12

1.133098

northeast

Ry_ay

8

1.122601

northeast

Ro_ayu

7

1.116615

northeast

Ro_ayu

9

1.116154

northeast

Ro_ayg

2

1.115859

Parameter estimates:

Summary Table of Parameter Estimates
Parameter mean sd Lower_CI Median Upper_CI
mu_bc_H[1] -0.149 0.072 -0.282 -0.152 -0.005
mu_bc_H[2] -0.112 0.041 -0.184 -0.114 -0.026
mu_bc_H[3] -0.449 0.069 -0.576 -0.450 -0.309
mu_bc_H[4] -1.187 0.240 -1.698 -1.174 -0.756
mu_bc_H[5] 0.829 0.915 -0.299 0.647 2.988
mu_bc_H[6] -2.181 0.330 -2.806 -2.187 -1.511
mu_bc_H[7] -0.494 0.114 -0.736 -0.492 -0.286
mu_bc_H[8] 0.291 0.374 -0.307 0.243 1.163
mu_bc_H[9] -0.374 0.151 -0.677 -0.369 -0.083
mu_bc_H[10] -0.138 0.067 -0.267 -0.139 -0.008
mu_bc_H[11] -0.122 0.038 -0.194 -0.121 -0.045
mu_bc_H[12] -0.267 0.104 -0.506 -0.262 -0.065
mu_bc_H[13] -0.163 0.080 -0.316 -0.163 -0.009
mu_bc_H[14] -0.342 0.107 -0.565 -0.339 -0.140
mu_bc_H[15] -0.343 0.051 -0.440 -0.343 -0.237
mu_bc_H[16] -0.252 0.392 -0.951 -0.268 0.607
mu_bc_R[1] -1.041 31.586 -64.918 -0.841 59.839
mu_bc_R[2] -0.108 31.282 -61.220 0.627 58.989
mu_bc_R[3] 0.262 31.071 -58.840 0.478 59.640
mu_bc_R[4] -0.904 31.328 -61.759 -1.267 58.760
mu_bc_R[5] -0.398 31.831 -60.932 -0.848 62.707
mu_bc_R[6] -0.355 32.327 -63.867 0.028 62.920
mu_bc_R[7] 0.016 30.867 -62.978 -0.424 60.450
mu_bc_R[8] -0.412 31.367 -60.551 -0.233 60.739
mu_bc_R[9] -0.333 32.228 -63.340 -0.013 61.409
mu_bc_R[10] 1.586 31.997 -61.864 1.357 65.779
mu_bc_R[11] 0.404 31.180 -60.102 0.474 62.475
mu_bc_R[12] 0.410 30.637 -59.336 0.062 59.003
mu_bc_R[13] 0.267 30.666 -58.290 -0.316 59.958
mu_bc_R[14] -0.039 31.104 -62.129 -0.215 60.651
mu_bc_R[15] 0.410 31.776 -61.091 1.023 63.304
mu_bc_R[16] 0.193 31.858 -62.548 0.247 60.445
tau_pH[1] 6.351 0.547 5.333 6.322 7.497
tau_pH[2] 1.806 0.210 1.419 1.800 2.248
tau_pH[3] 2.092 0.237 1.665 2.080 2.601
beta0_pH[1,1] 0.190 0.290 -0.506 0.232 0.638
beta0_pH[2,1] 0.496 0.623 -0.971 0.661 1.318
beta0_pH[3,1] 0.639 0.824 -1.521 0.894 1.597
beta0_pH[4,1] 0.876 0.563 -0.365 0.990 1.655
beta0_pH[5,1] -1.252 0.454 -2.436 -1.166 -0.671
beta0_pH[6,1] -0.957 0.638 -2.646 -0.815 -0.189
beta0_pH[7,1] 0.746 0.087 0.567 0.747 0.918
beta0_pH[8,1] -0.675 0.365 -1.597 -0.614 -0.171
beta0_pH[9,1] -1.395 0.734 -3.980 -1.245 -0.581
beta0_pH[10,1] -0.157 0.309 -0.944 -0.107 0.303
beta0_pH[11,1] -0.131 0.186 -0.506 -0.129 0.219
beta0_pH[12,1] 0.398 0.180 0.036 0.404 0.738
beta0_pH[13,1] -0.198 0.152 -0.501 -0.197 0.097
beta0_pH[14,1] -0.395 0.161 -0.716 -0.393 -0.090
beta0_pH[15,1] -0.117 0.183 -0.516 -0.108 0.212
beta0_pH[16,1] -0.240 0.176 -0.620 -0.233 0.084
beta0_pH[1,2] 2.611 0.216 2.177 2.615 3.022
beta0_pH[2,2] 2.869 0.166 2.545 2.871 3.187
beta0_pH[3,2] 3.364 0.197 2.989 3.361 3.766
beta0_pH[4,2] 3.059 0.165 2.739 3.057 3.394
beta0_pH[5,2] 4.527 1.353 2.723 4.268 7.908
beta0_pH[6,2] 3.295 0.250 2.815 3.289 3.793
beta0_pH[7,2] 1.928 0.240 1.445 1.936 2.393
beta0_pH[8,2] 2.828 0.210 2.419 2.826 3.246
beta0_pH[9,2] 3.895 0.277 3.364 3.891 4.451
beta0_pH[10,2] 3.797 0.235 3.347 3.798 4.262
beta0_pH[11,2] 1.874 0.171 1.542 1.878 2.208
beta0_pH[12,2] 1.639 0.203 1.216 1.638 2.037
beta0_pH[13,2] 2.346 0.206 1.941 2.345 2.753
beta0_pH[14,2] 1.626 0.183 1.266 1.627 1.987
beta0_pH[15,2] 2.411 0.204 2.003 2.413 2.802
beta0_pH[16,2] 2.518 0.213 2.101 2.523 2.929
beta0_pH[1,3] 0.298 0.753 -1.483 0.442 1.282
beta0_pH[2,3] 2.073 0.185 1.722 2.076 2.425
beta0_pH[3,3] 2.626 0.168 2.307 2.626 2.961
beta0_pH[4,3] 3.009 0.184 2.655 3.006 3.377
beta0_pH[5,3] 3.325 1.798 0.929 2.970 7.929
beta0_pH[6,3] 1.227 0.389 0.534 1.207 2.045
beta0_pH[7,3] 0.565 0.202 0.192 0.562 0.982
beta0_pH[8,3] 0.263 0.202 -0.150 0.268 0.637
beta0_pH[9,3] -2.410 1.137 -4.606 -2.490 -0.367
beta0_pH[10,3] -0.801 0.912 -2.964 -0.689 0.660
beta0_pH[11,3] 1.021 0.404 0.211 1.028 1.835
beta0_pH[12,3] 0.776 0.431 -0.147 0.802 1.537
beta0_pH[13,3] 0.978 0.452 0.029 1.014 1.668
beta0_pH[14,3] 0.609 0.467 -0.429 0.644 1.428
beta0_pH[15,3] 0.815 0.403 -0.114 0.880 1.426
beta0_pH[16,3] 0.942 0.399 0.088 1.000 1.539
beta1_pH[1,1] 4.044 0.930 2.735 3.881 6.413
beta1_pH[2,1] 2.978 0.882 1.863 2.742 5.105
beta1_pH[3,1] 3.189 1.355 1.567 2.802 6.490
beta1_pH[4,1] 3.191 0.926 1.928 3.014 5.374
beta1_pH[5,1] 2.671 0.507 2.002 2.576 4.026
beta1_pH[6,1] 3.248 1.042 1.862 3.039 6.015
beta1_pH[7,1] 0.000 0.000 0.000 0.000 0.000
beta1_pH[8,1] 3.216 0.753 2.041 3.122 4.944
beta1_pH[9,1] 3.041 0.827 2.077 2.886 5.856
beta1_pH[10,1] 2.774 0.451 2.134 2.697 3.962
beta1_pH[11,1] 3.370 0.231 2.941 3.363 3.861
beta1_pH[12,1] 3.013 0.211 2.616 3.008 3.433
beta1_pH[13,1] 2.913 0.208 2.521 2.907 3.355
beta1_pH[14,1] 3.497 0.221 3.094 3.489 3.950
beta1_pH[15,1] 2.716 0.236 2.295 2.705 3.225
beta1_pH[16,1] 3.050 0.224 2.641 3.039 3.528
beta1_pH[1,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[2,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[3,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[4,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[5,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[6,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[7,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[8,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[9,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[10,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[11,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[12,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[13,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[14,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[15,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[16,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[1,3] 3.110 1.673 1.254 2.561 7.196
beta1_pH[2,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[3,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[4,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[5,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[6,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[7,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[8,3] 3.613 0.716 2.249 3.581 5.111
beta1_pH[9,3] 4.715 1.396 2.413 4.681 7.678
beta1_pH[10,3] 6.183 2.443 2.960 5.613 12.463
beta1_pH[11,3] 1.625 0.461 0.668 1.625 2.503
beta1_pH[12,3] 2.508 0.491 1.594 2.490 3.558
beta1_pH[13,3] 0.593 0.493 0.000 0.561 1.605
beta1_pH[14,3] 1.622 0.535 0.623 1.601 2.743
beta1_pH[15,3] 0.497 0.439 0.000 0.422 1.520
beta1_pH[16,3] 0.492 0.435 0.000 0.416 1.464
beta2_pH[1,1] 0.338 0.118 0.166 0.316 0.614
beta2_pH[2,1] 0.395 0.249 0.124 0.332 1.007
beta2_pH[3,1] 0.356 0.368 0.078 0.235 1.309
beta2_pH[4,1] 0.308 0.180 0.114 0.258 0.748
beta2_pH[5,1] 1.636 1.165 0.312 1.465 4.360
beta2_pH[6,1] 0.220 0.127 0.089 0.198 0.457
beta2_pH[7,1] 0.000 0.000 0.000 0.000 0.000
beta2_pH[8,1] 0.250 0.095 0.118 0.235 0.470
beta2_pH[9,1] 0.349 0.135 0.159 0.324 0.683
beta2_pH[10,1] 0.517 0.220 0.221 0.479 1.036
beta2_pH[11,1] 0.750 0.165 0.480 0.733 1.124
beta2_pH[12,1] 1.109 0.368 0.691 1.033 1.955
beta2_pH[13,1] 0.789 0.193 0.485 0.765 1.233
beta2_pH[14,1] 0.808 0.166 0.544 0.786 1.191
beta2_pH[15,1] 0.729 0.210 0.388 0.709 1.187
beta2_pH[16,1] 0.791 0.198 0.459 0.774 1.237
beta2_pH[1,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[2,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[3,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[4,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[5,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[6,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[7,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[8,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[9,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[10,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[11,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[12,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[13,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[14,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[15,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[16,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[1,3] 3.987 5.725 0.122 0.707 19.958
beta2_pH[2,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[3,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[4,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[5,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[6,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[7,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[8,3] 5.056 3.341 0.969 4.325 13.216
beta2_pH[9,3] 1.248 2.578 0.188 0.421 9.571
beta2_pH[10,3] 0.759 2.102 0.127 0.340 5.604
beta2_pH[11,3] -7.050 5.149 -20.343 -5.777 -0.898
beta2_pH[12,3] -7.013 5.024 -20.525 -5.561 -1.301
beta2_pH[13,3] -7.123 5.098 -20.673 -5.804 -0.985
beta2_pH[14,3] -7.236 5.022 -20.566 -5.941 -1.270
beta2_pH[15,3] -7.239 5.035 -20.649 -5.991 -0.890
beta2_pH[16,3] -7.142 5.191 -20.453 -5.895 -0.721
beta3_pH[1,1] 36.361 1.446 34.010 36.169 39.865
beta3_pH[2,1] 30.733 1.644 26.585 31.024 33.215
beta3_pH[3,1] 32.277 2.902 25.239 32.637 38.310
beta3_pH[4,1] 32.009 2.022 27.777 32.034 36.498
beta3_pH[5,1] 27.031 0.661 25.320 27.115 27.964
beta3_pH[6,1] 34.354 3.487 27.068 34.247 40.880
beta3_pH[7,1] 25.000 0.000 25.000 25.000 25.000
beta3_pH[8,1] 38.212 2.477 32.501 38.588 41.772
beta3_pH[9,1] 28.493 1.968 23.329 28.586 32.078
beta3_pH[10,1] 31.739 0.971 29.720 31.750 33.562
beta3_pH[11,1] 30.366 0.454 29.478 30.369 31.250
beta3_pH[12,1] 30.376 0.364 29.675 30.377 31.077
beta3_pH[13,1] 32.463 0.533 31.470 32.458 33.531
beta3_pH[14,1] 31.972 0.429 31.157 31.958 32.857
beta3_pH[15,1] 31.178 0.619 29.938 31.185 32.402
beta3_pH[16,1] 30.713 0.480 29.793 30.704 31.662
beta3_pH[1,2] 33.504 4.918 25.462 33.389 41.604
beta3_pH[2,2] 33.562 4.903 25.442 33.632 41.604
beta3_pH[3,2] 29.903 6.943 18.615 29.679 41.323
beta3_pH[4,2] 29.926 6.891 18.634 29.721 41.390
beta3_pH[5,2] 30.018 6.915 18.725 30.126 41.536
beta3_pH[6,2] 30.123 6.928 18.706 30.325 41.488
beta3_pH[7,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[8,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[9,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[10,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[11,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[12,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[13,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[14,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[15,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[16,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[1,3] 37.083 2.848 32.078 36.964 41.540
beta3_pH[2,3] 33.622 4.940 25.471 33.722 41.666
beta3_pH[3,3] 29.907 6.850 18.609 29.860 41.296
beta3_pH[4,3] 29.958 6.952 18.674 30.019 41.396
beta3_pH[5,3] 25.000 0.000 25.000 25.000 25.000
beta3_pH[6,3] 25.000 0.000 25.000 25.000 25.000
beta3_pH[7,3] 25.000 0.000 25.000 25.000 25.000
beta3_pH[8,3] 41.561 0.263 41.074 41.582 41.951
beta3_pH[9,3] 30.712 1.811 28.114 30.370 34.028
beta3_pH[10,3] 36.187 2.048 32.817 35.960 41.090
beta3_pH[11,3] 40.324 0.949 38.576 40.339 42.012
beta3_pH[12,3] 40.949 0.584 39.683 41.026 41.917
beta3_pH[13,3] 40.154 3.271 30.324 41.352 42.914
beta3_pH[14,3] 40.565 0.869 39.010 40.658 41.930
beta3_pH[15,3] 39.928 2.878 31.340 40.894 42.793
beta3_pH[16,3] 39.508 3.262 30.310 40.573 42.857
beta4_pH[1,1] 0.694 0.292 0.302 0.636 1.295
beta4_pH[2,1] 0.847 0.216 0.542 0.817 1.256
beta4_pH[3,1] 0.916 0.289 0.511 0.872 1.475
beta4_pH[4,1] 0.804 0.269 0.433 0.758 1.339
beta4_pH[5,1] 0.684 0.539 0.086 0.543 2.019
beta4_pH[6,1] 1.944 1.744 0.225 1.354 6.664
beta4_pH[7,1] 1.105 0.621 0.353 0.954 2.505
beta4_pH[8,1] 0.759 0.430 0.226 0.668 1.732
beta4_pH[9,1] 0.912 0.534 0.276 0.773 2.135
beta4_pH[10,1] 0.728 0.280 0.347 0.678 1.293
beta4_pH[11,1] 0.693 0.245 0.351 0.655 1.197
beta4_pH[12,1] 0.928 0.376 0.436 0.843 1.725
beta4_pH[13,1] 0.757 0.268 0.382 0.703 1.296
beta4_pH[14,1] 1.028 0.335 0.562 0.977 1.696
beta4_pH[15,1] 0.915 0.266 0.540 0.872 1.439
beta4_pH[16,1] 0.896 0.362 0.420 0.819 1.661
beta4_pH[1,2] 0.690 0.286 0.305 0.634 1.281
beta4_pH[2,2] 0.848 0.213 0.542 0.815 1.259
beta4_pH[3,2] 0.910 0.286 0.514 0.859 1.476
beta4_pH[4,2] 0.800 0.270 0.432 0.752 1.345
beta4_pH[5,2] 0.679 0.535 0.085 0.527 1.961
beta4_pH[6,2] 1.959 1.774 0.225 1.330 6.634
beta4_pH[7,2] 1.092 0.614 0.345 0.942 2.492
beta4_pH[8,2] 0.758 0.427 0.226 0.656 1.719
beta4_pH[9,2] 0.935 0.550 0.276 0.790 2.217
beta4_pH[10,2] 0.730 0.280 0.346 0.681 1.286
beta4_pH[11,2] 0.693 0.253 0.352 0.647 1.200
beta4_pH[12,2] 0.923 0.370 0.440 0.842 1.713
beta4_pH[13,2] 0.750 0.267 0.380 0.708 1.292
beta4_pH[14,2] 1.029 0.333 0.562 0.975 1.695
beta4_pH[15,2] 0.920 0.267 0.538 0.881 1.443
beta4_pH[16,2] 0.897 0.360 0.417 0.827 1.649
beta4_pH[1,3] 0.686 0.284 0.302 0.631 1.276
beta4_pH[2,3] 0.854 0.215 0.543 0.829 1.264
beta4_pH[3,3] 0.915 0.284 0.512 0.876 1.474
beta4_pH[4,3] 0.805 0.275 0.430 0.756 1.350
beta4_pH[5,3] 0.659 0.512 0.086 0.523 1.933
beta4_pH[6,3] 1.968 1.767 0.230 1.348 6.667
beta4_pH[7,3] 1.086 0.600 0.349 0.958 2.470
beta4_pH[8,3] 0.755 0.432 0.226 0.660 1.731
beta4_pH[9,3] 0.921 0.545 0.274 0.776 2.214
beta4_pH[10,3] 0.719 0.273 0.344 0.676 1.283
beta4_pH[11,3] 0.696 0.249 0.353 0.657 1.192
beta4_pH[12,3] 0.935 0.387 0.443 0.845 1.751
beta4_pH[13,3] 0.750 0.272 0.381 0.697 1.298
beta4_pH[14,3] 1.024 0.335 0.560 0.961 1.706
beta4_pH[15,3] 0.915 0.271 0.535 0.869 1.445
beta4_pH[16,3] 0.894 0.361 0.421 0.814 1.653
beta4_pH[1,4] 0.686 0.285 0.306 0.634 1.274
beta4_pH[2,4] 0.851 0.214 0.542 0.830 1.255
beta4_pH[3,4] 0.916 0.278 0.516 0.883 1.463
beta4_pH[4,4] 0.806 0.270 0.433 0.762 1.343
beta4_pH[5,4] 0.693 0.538 0.086 0.552 1.989
beta4_pH[6,4] 1.933 1.734 0.229 1.348 6.600
beta4_pH[7,4] 1.102 0.613 0.347 0.939 2.485
beta4_pH[8,4] 0.742 0.417 0.226 0.655 1.688
beta4_pH[9,4] 0.914 0.545 0.272 0.767 2.197
beta4_pH[10,4] 0.722 0.275 0.345 0.672 1.275
beta4_pH[11,4] 0.689 0.247 0.350 0.648 1.193
beta4_pH[12,4] 0.941 0.382 0.438 0.863 1.733
beta4_pH[13,4] 0.745 0.269 0.381 0.701 1.290
beta4_pH[14,4] 1.025 0.337 0.561 0.967 1.698
beta4_pH[15,4] 0.915 0.267 0.537 0.878 1.438
beta4_pH[16,4] 0.897 0.359 0.421 0.824 1.658
beta4_pH[1,5] 0.684 0.283 0.306 0.636 1.282
beta4_pH[2,5] 0.850 0.211 0.545 0.823 1.257
beta4_pH[3,5] 0.911 0.283 0.511 0.869 1.471
beta4_pH[4,5] 0.812 0.272 0.429 0.776 1.349
beta4_pH[5,5] 0.679 0.523 0.088 0.544 1.963
beta4_pH[6,5] 1.897 1.678 0.228 1.355 6.515
beta4_pH[7,5] 1.121 0.622 0.352 0.961 2.515
beta4_pH[8,5] 0.754 0.424 0.226 0.663 1.717
beta4_pH[9,5] 0.929 0.551 0.274 0.778 2.180
beta4_pH[10,5] 0.729 0.278 0.349 0.681 1.288
beta4_pH[11,5] 0.689 0.246 0.353 0.645 1.190
beta4_pH[12,5] 0.918 0.377 0.436 0.825 1.731
beta4_pH[13,5] 0.739 0.271 0.376 0.689 1.291
beta4_pH[14,5] 1.028 0.331 0.561 0.978 1.692
beta4_pH[15,5] 0.917 0.265 0.539 0.877 1.436
beta4_pH[16,5] 0.904 0.364 0.420 0.836 1.653
beta4_pH[1,6] 0.692 0.291 0.305 0.639 1.294
beta4_pH[2,6] 0.854 0.215 0.543 0.824 1.258
beta4_pH[3,6] 0.912 0.286 0.512 0.863 1.477
beta4_pH[4,6] 0.804 0.272 0.431 0.757 1.356
beta4_pH[5,6] 0.664 0.526 0.087 0.510 1.963
beta4_pH[6,6] 1.975 1.778 0.232 1.341 6.670
beta4_pH[7,6] 1.106 0.612 0.349 0.952 2.493
beta4_pH[8,6] 0.763 0.424 0.228 0.679 1.732
beta4_pH[9,6] 0.937 0.546 0.277 0.804 2.208
beta4_pH[10,6] 0.720 0.276 0.346 0.675 1.291
beta4_pH[11,6] 0.691 0.248 0.351 0.649 1.195
beta4_pH[12,6] 0.939 0.383 0.436 0.861 1.729
beta4_pH[13,6] 0.735 0.270 0.379 0.677 1.286
beta4_pH[14,6] 1.030 0.343 0.561 0.966 1.707
beta4_pH[15,6] 0.906 0.267 0.538 0.862 1.428
beta4_pH[16,6] 0.911 0.364 0.417 0.848 1.654
beta4_pH[1,7] 0.688 0.282 0.307 0.644 1.283
beta4_pH[2,7] 0.850 0.214 0.543 0.815 1.260
beta4_pH[3,7] 0.911 0.286 0.515 0.864 1.477
beta4_pH[4,7] 0.799 0.264 0.431 0.762 1.336
beta4_pH[5,7] 0.654 0.513 0.086 0.528 1.937
beta4_pH[6,7] 1.968 1.781 0.233 1.344 6.807
beta4_pH[7,7] 1.097 0.608 0.346 0.951 2.474
beta4_pH[8,7] 0.745 0.422 0.226 0.651 1.717
beta4_pH[9,7] 0.915 0.539 0.274 0.778 2.172
beta4_pH[10,7] 0.728 0.278 0.346 0.684 1.289
beta4_pH[11,7] 0.698 0.252 0.348 0.654 1.199
beta4_pH[12,7] 0.922 0.380 0.438 0.833 1.728
beta4_pH[13,7] 0.746 0.269 0.380 0.700 1.296
beta4_pH[14,7] 1.033 0.337 0.563 0.979 1.690
beta4_pH[15,7] 0.916 0.267 0.535 0.881 1.445
beta4_pH[16,7] 0.896 0.355 0.420 0.822 1.650
beta4_pH[1,8] 0.694 0.286 0.307 0.654 1.278
beta4_pH[2,8] 0.854 0.216 0.544 0.823 1.261
beta4_pH[3,8] 0.911 0.286 0.514 0.865 1.480
beta4_pH[4,8] 0.814 0.272 0.431 0.768 1.339
beta4_pH[5,8] 0.687 0.542 0.086 0.538 1.998
beta4_pH[6,8] 1.986 1.779 0.236 1.365 6.820
beta4_pH[7,8] 1.111 0.610 0.351 0.964 2.490
beta4_pH[8,8] 0.759 0.429 0.225 0.658 1.721
beta4_pH[9,8] 0.933 0.545 0.280 0.779 2.204
beta4_pH[10,8] 0.725 0.280 0.344 0.681 1.283
beta4_pH[11,8] 0.690 0.248 0.354 0.645 1.194
beta4_pH[12,8] 0.929 0.379 0.437 0.845 1.723
beta4_pH[13,8] 0.746 0.270 0.379 0.699 1.292
beta4_pH[14,8] 1.022 0.335 0.563 0.961 1.693
beta4_pH[15,8] 0.916 0.268 0.539 0.873 1.445
beta4_pH[16,8] 0.889 0.358 0.418 0.815 1.641
beta4_pH[1,9] 0.684 0.287 0.306 0.629 1.277
beta4_pH[2,9] 0.855 0.215 0.543 0.826 1.260
beta4_pH[3,9] 0.914 0.285 0.510 0.873 1.472
beta4_pH[4,9] 0.804 0.271 0.429 0.764 1.346
beta4_pH[5,9] 0.663 0.521 0.085 0.523 1.933
beta4_pH[6,9] 1.970 1.764 0.242 1.349 6.815
beta4_pH[7,9] 1.100 0.606 0.353 0.946 2.486
beta4_pH[8,9] 0.751 0.432 0.224 0.646 1.709
beta4_pH[9,9] 0.923 0.536 0.276 0.782 2.180
beta4_pH[10,9] 0.730 0.279 0.346 0.680 1.283
beta4_pH[11,9] 0.695 0.248 0.352 0.660 1.187
beta4_pH[12,9] 0.928 0.376 0.436 0.840 1.711
beta4_pH[13,9] 0.750 0.271 0.380 0.698 1.292
beta4_pH[14,9] 1.023 0.338 0.563 0.962 1.704
beta4_pH[15,9] 0.913 0.270 0.536 0.871 1.443
beta4_pH[16,9] 0.899 0.365 0.419 0.817 1.649
beta4_pH[1,10] 0.698 0.286 0.306 0.645 1.282
beta4_pH[2,10] 0.851 0.212 0.545 0.824 1.265
beta4_pH[3,10] 0.914 0.286 0.514 0.871 1.473
beta4_pH[4,10] 0.813 0.273 0.429 0.771 1.347
beta4_pH[5,10] 0.667 0.521 0.086 0.531 1.949
beta4_pH[6,10] 1.905 1.725 0.231 1.328 6.666
beta4_pH[7,10] 1.101 0.609 0.349 0.957 2.485
beta4_pH[8,10] 0.764 0.429 0.226 0.668 1.713
beta4_pH[9,10] 0.918 0.535 0.277 0.787 2.191
beta4_pH[10,10] 0.720 0.274 0.345 0.670 1.288
beta4_pH[11,10] 0.693 0.251 0.353 0.646 1.197
beta4_pH[12,10] 0.931 0.379 0.440 0.835 1.735
beta4_pH[13,10] 0.749 0.272 0.379 0.706 1.301
beta4_pH[14,10] 1.023 0.338 0.559 0.970 1.697
beta4_pH[15,10] 0.909 0.265 0.538 0.871 1.438
beta4_pH[16,10] 0.904 0.360 0.420 0.833 1.656
beta4_pH[1,11] 0.703 0.292 0.307 0.653 1.282
beta4_pH[2,11] 0.853 0.216 0.544 0.823 1.265
beta4_pH[3,11] 0.919 0.284 0.511 0.885 1.478
beta4_pH[4,11] 0.800 0.269 0.429 0.756 1.345
beta4_pH[5,11] 0.653 0.511 0.087 0.517 1.929
beta4_pH[6,11] 1.848 1.675 0.224 1.280 6.420
beta4_pH[7,11] 1.108 0.613 0.349 0.962 2.463
beta4_pH[8,11] 0.768 0.430 0.223 0.683 1.711
beta4_pH[9,11] 0.917 0.531 0.274 0.790 2.186
beta4_pH[10,11] 0.727 0.276 0.345 0.677 1.289
beta4_pH[11,11] 0.700 0.251 0.352 0.660 1.194
beta4_pH[12,11] 0.934 0.380 0.436 0.841 1.723
beta4_pH[13,11] 0.746 0.270 0.380 0.701 1.291
beta4_pH[14,11] 1.027 0.337 0.559 0.970 1.700
beta4_pH[15,11] 0.924 0.269 0.538 0.887 1.441
beta4_pH[16,11] 0.899 0.360 0.420 0.831 1.652
beta4_pH[1,12] 0.691 0.287 0.305 0.642 1.289
beta4_pH[2,12] 0.853 0.212 0.545 0.829 1.254
beta4_pH[3,12] 0.911 0.287 0.513 0.868 1.471
beta4_pH[4,12] 0.795 0.267 0.430 0.749 1.339
beta4_pH[5,12] 0.663 0.521 0.086 0.519 1.959
beta4_pH[6,12] 1.897 1.723 0.229 1.279 6.630
beta4_pH[7,12] 1.107 0.623 0.348 0.955 2.504
beta4_pH[8,12] 0.762 0.431 0.228 0.666 1.737
beta4_pH[9,12] 0.931 0.548 0.271 0.777 2.184
beta4_pH[10,12] 0.727 0.275 0.346 0.683 1.283
beta4_pH[11,12] 0.692 0.249 0.351 0.649 1.187
beta4_pH[12,12] 0.932 0.382 0.436 0.844 1.733
beta4_pH[13,12] 0.749 0.269 0.380 0.708 1.289
beta4_pH[14,12] 1.030 0.338 0.561 0.970 1.708
beta4_pH[15,12] 0.923 0.269 0.537 0.889 1.441
beta4_pH[16,12] 0.893 0.361 0.420 0.817 1.653
beta4_pH[1,13] 0.678 0.281 0.304 0.627 1.270
beta4_pH[2,13] 0.848 0.211 0.544 0.821 1.254
beta4_pH[3,13] 0.901 0.279 0.513 0.854 1.473
beta4_pH[4,13] 0.811 0.266 0.433 0.776 1.337
beta4_pH[5,13] 0.658 0.526 0.086 0.505 1.988
beta4_pH[6,13] 1.915 1.714 0.228 1.344 6.510
beta4_pH[7,13] 1.109 0.619 0.350 0.950 2.486
beta4_pH[8,13] 0.763 0.428 0.228 0.672 1.731
beta4_pH[9,13] 0.922 0.542 0.274 0.774 2.175
beta4_pH[10,13] 0.725 0.277 0.347 0.677 1.276
beta4_pH[11,13] 0.686 0.251 0.349 0.638 1.192
beta4_pH[12,13] 0.921 0.375 0.438 0.830 1.728
beta4_pH[13,13] 0.743 0.267 0.380 0.701 1.289
beta4_pH[14,13] 1.018 0.335 0.563 0.954 1.705
beta4_pH[15,13] 0.914 0.266 0.540 0.872 1.448
beta4_pH[16,13] 0.907 0.361 0.424 0.834 1.644
beta4_pH[1,14] 0.686 0.281 0.305 0.632 1.267
beta4_pH[2,14] 0.854 0.215 0.544 0.822 1.262
beta4_pH[3,14] 0.908 0.285 0.512 0.857 1.483
beta4_pH[4,14] 0.804 0.271 0.430 0.759 1.342
beta4_pH[5,14] 0.680 0.524 0.088 0.541 1.959
beta4_pH[6,14] 1.916 1.742 0.231 1.305 6.755
beta4_pH[7,14] 1.092 0.608 0.350 0.938 2.483
beta4_pH[8,14] 0.760 0.431 0.226 0.665 1.724
beta4_pH[9,14] 0.918 0.536 0.275 0.778 2.177
beta4_pH[10,14] 0.725 0.273 0.346 0.678 1.284
beta4_pH[11,14] 0.694 0.248 0.355 0.650 1.194
beta4_pH[12,14] 0.934 0.381 0.436 0.850 1.730
beta4_pH[13,14] 0.746 0.271 0.379 0.700 1.288
beta4_pH[14,14] 1.026 0.338 0.560 0.964 1.698
beta4_pH[15,14] 0.923 0.271 0.539 0.888 1.447
beta4_pH[16,14] 0.897 0.360 0.423 0.818 1.661
beta4_pH[1,15] 0.690 0.286 0.304 0.639 1.286
beta4_pH[2,15] 0.846 0.215 0.543 0.817 1.263
beta4_pH[3,15] 0.920 0.286 0.515 0.872 1.475
beta4_pH[4,15] 0.809 0.265 0.433 0.770 1.345
beta4_pH[5,15] 0.688 0.540 0.087 0.532 1.993
beta4_pH[6,15] 1.936 1.733 0.230 1.355 6.661
beta4_pH[7,15] 1.098 0.612 0.347 0.955 2.472
beta4_pH[8,15] 0.764 0.439 0.225 0.657 1.744
beta4_pH[9,15] 0.924 0.542 0.275 0.783 2.192
beta4_pH[10,15] 0.731 0.283 0.346 0.678 1.301
beta4_pH[11,15] 0.694 0.249 0.352 0.650 1.189
beta4_pH[12,15] 0.936 0.382 0.435 0.851 1.730
beta4_pH[13,15] 0.746 0.269 0.377 0.697 1.298
beta4_pH[14,15] 1.016 0.330 0.562 0.960 1.691
beta4_pH[15,15] 0.918 0.275 0.537 0.883 1.445
beta4_pH[16,15] 0.910 0.369 0.419 0.839 1.664
beta4_pH[1,16] 0.697 0.289 0.306 0.650 1.286
beta4_pH[2,16] 0.854 0.219 0.542 0.823 1.264
beta4_pH[3,16] 0.914 0.288 0.516 0.863 1.476
beta4_pH[4,16] 0.801 0.271 0.429 0.753 1.347
beta4_pH[5,16] 0.665 0.528 0.085 0.514 1.957
beta4_pH[6,16] 1.927 1.758 0.231 1.319 6.781
beta4_pH[7,16] 1.102 0.605 0.347 0.961 2.487
beta4_pH[8,16] 0.761 0.435 0.226 0.660 1.737
beta4_pH[9,16] 0.929 0.536 0.279 0.793 2.171
beta4_pH[10,16] 0.727 0.277 0.346 0.681 1.288
beta4_pH[11,16] 0.689 0.244 0.354 0.645 1.183
beta4_pH[12,16] 0.927 0.381 0.437 0.836 1.727
beta4_pH[13,16] 0.749 0.270 0.379 0.694 1.289
beta4_pH[14,16] 1.029 0.342 0.559 0.971 1.707
beta4_pH[15,16] 0.914 0.269 0.534 0.871 1.438
beta4_pH[16,16] 0.909 0.365 0.418 0.841 1.655
beta4_pH[1,17] 0.696 0.292 0.301 0.638 1.293
beta4_pH[2,17] 0.849 0.212 0.541 0.823 1.255
beta4_pH[3,17] 0.916 0.284 0.515 0.875 1.482
beta4_pH[4,17] 0.799 0.271 0.429 0.752 1.342
beta4_pH[5,17] 0.675 0.529 0.088 0.530 1.980
beta4_pH[6,17] 1.943 1.730 0.226 1.356 6.711
beta4_pH[7,17] 1.118 0.613 0.348 0.978 2.486
beta4_pH[8,17] 0.773 0.432 0.228 0.671 1.722
beta4_pH[9,17] 0.920 0.532 0.277 0.786 2.158
beta4_pH[10,17] 0.730 0.279 0.345 0.679 1.285
beta4_pH[11,17] 0.689 0.247 0.349 0.650 1.191
beta4_pH[12,17] 0.922 0.376 0.438 0.830 1.730
beta4_pH[13,17] 0.744 0.272 0.381 0.690 1.289
beta4_pH[14,17] 1.029 0.335 0.563 0.971 1.699
beta4_pH[15,17] 0.926 0.272 0.535 0.893 1.444
beta4_pH[16,17] 0.892 0.361 0.417 0.817 1.655
beta4_pH[1,18] 0.695 0.289 0.306 0.643 1.287
beta4_pH[2,18] 0.853 0.214 0.542 0.826 1.259
beta4_pH[3,18] 0.907 0.279 0.517 0.862 1.459
beta4_pH[4,18] 0.801 0.269 0.430 0.759 1.342
beta4_pH[5,18] 0.673 0.524 0.088 0.527 1.971
beta4_pH[6,18] 1.920 1.704 0.232 1.355 6.563
beta4_pH[7,18] 1.103 0.606 0.347 0.967 2.480
beta4_pH[8,18] 0.758 0.429 0.225 0.670 1.722
beta4_pH[9,18] 0.945 0.551 0.277 0.796 2.209
beta4_pH[10,18] 0.723 0.282 0.345 0.667 1.297
beta4_pH[11,18] 0.693 0.248 0.351 0.656 1.187
beta4_pH[12,18] 0.932 0.378 0.437 0.845 1.718
beta4_pH[13,18] 0.749 0.269 0.380 0.705 1.288
beta4_pH[14,18] 1.027 0.340 0.558 0.974 1.706
beta4_pH[15,18] 0.912 0.275 0.538 0.865 1.448
beta4_pH[16,18] 0.904 0.363 0.422 0.831 1.644
beta4_pH[1,19] 0.693 0.287 0.306 0.645 1.278
beta4_pH[2,19] 0.855 0.214 0.544 0.823 1.262
beta4_pH[3,19] 0.907 0.283 0.513 0.863 1.471
beta4_pH[4,19] 0.803 0.269 0.430 0.764 1.343
beta4_pH[5,19] 0.669 0.531 0.085 0.528 1.969
beta4_pH[6,19] 1.988 1.770 0.228 1.368 6.734
beta4_pH[7,19] 1.095 0.611 0.343 0.944 2.491
beta4_pH[8,19] 0.754 0.432 0.227 0.659 1.722
beta4_pH[9,19] 0.940 0.555 0.274 0.784 2.197
beta4_pH[10,19] 0.729 0.284 0.345 0.676 1.298
beta4_pH[11,19] 0.692 0.245 0.352 0.652 1.190
beta4_pH[12,19] 0.928 0.376 0.442 0.845 1.724
beta4_pH[13,19] 0.745 0.268 0.379 0.700 1.294
beta4_pH[14,19] 1.022 0.334 0.560 0.969 1.690
beta4_pH[15,19] 0.908 0.266 0.540 0.864 1.439
beta4_pH[16,19] 0.896 0.357 0.419 0.833 1.646
beta4_pH[1,20] 0.687 0.284 0.304 0.635 1.280
beta4_pH[2,20] 0.850 0.214 0.544 0.817 1.262
beta4_pH[3,20] 0.915 0.285 0.514 0.867 1.471
beta4_pH[4,20] 0.807 0.270 0.431 0.768 1.342
beta4_pH[5,20] 0.657 0.519 0.085 0.522 1.957
beta4_pH[6,20] 1.959 1.740 0.234 1.346 6.653
beta4_pH[7,20] 1.090 0.613 0.348 0.934 2.466
beta4_pH[8,20] 0.771 0.433 0.229 0.680 1.719
beta4_pH[9,20] 0.943 0.537 0.274 0.814 2.156
beta4_pH[10,20] 0.731 0.280 0.345 0.690 1.292
beta4_pH[11,20] 0.698 0.251 0.351 0.656 1.197
beta4_pH[12,20] 0.935 0.374 0.441 0.851 1.707
beta4_pH[13,20] 0.751 0.273 0.379 0.704 1.295
beta4_pH[14,20] 1.036 0.338 0.561 0.979 1.715
beta4_pH[15,20] 0.921 0.268 0.537 0.885 1.444
beta4_pH[16,20] 0.900 0.361 0.421 0.814 1.656
beta4_pH[1,21] 0.697 0.286 0.308 0.648 1.289
beta4_pH[2,21] 0.855 0.217 0.542 0.827 1.266
beta4_pH[3,21] 0.918 0.287 0.513 0.873 1.477
beta4_pH[4,21] 0.799 0.272 0.430 0.750 1.348
beta4_pH[5,21] 0.666 0.517 0.087 0.531 1.947
beta4_pH[6,21] 1.964 1.779 0.230 1.328 6.678
beta4_pH[7,21] 1.077 0.606 0.346 0.924 2.481
beta4_pH[8,21] 0.765 0.434 0.226 0.672 1.742
beta4_pH[9,21] 0.929 0.544 0.275 0.790 2.183
beta4_pH[10,21] 0.716 0.276 0.346 0.662 1.294
beta4_pH[11,21] 0.688 0.249 0.353 0.646 1.196
beta4_pH[12,21] 0.932 0.384 0.436 0.839 1.737
beta4_pH[13,21] 0.742 0.265 0.382 0.691 1.293
beta4_pH[14,21] 1.026 0.338 0.561 0.968 1.702
beta4_pH[15,21] 0.918 0.263 0.540 0.880 1.427
beta4_pH[16,21] 0.903 0.358 0.420 0.831 1.657
beta4_pH[1,22] 0.695 0.292 0.302 0.650 1.290
beta4_pH[2,22] 0.854 0.214 0.544 0.825 1.261
beta4_pH[3,22] 0.918 0.289 0.514 0.873 1.481
beta4_pH[4,22] 0.804 0.269 0.430 0.758 1.347
beta4_pH[5,22] 0.676 0.528 0.087 0.544 1.961
beta4_pH[6,22] 1.939 1.744 0.236 1.318 6.753
beta4_pH[7,22] 1.079 0.601 0.347 0.935 2.481
beta4_pH[8,22] 0.761 0.432 0.225 0.668 1.731
beta4_pH[9,22] 0.920 0.531 0.276 0.778 2.146
beta4_pH[10,22] 0.720 0.274 0.344 0.674 1.284
beta4_pH[11,22] 0.693 0.252 0.352 0.647 1.199
beta4_pH[12,22] 0.924 0.378 0.437 0.840 1.729
beta4_pH[13,22] 0.738 0.272 0.379 0.682 1.289
beta4_pH[14,22] 1.030 0.339 0.561 0.969 1.702
beta4_pH[15,22] 0.916 0.267 0.538 0.876 1.435
beta4_pH[16,22] 0.902 0.360 0.419 0.829 1.651
beta4_pH[1,23] 0.688 0.286 0.306 0.633 1.287
beta4_pH[2,23] 0.852 0.211 0.546 0.825 1.258
beta4_pH[3,23] 0.918 0.289 0.513 0.877 1.475
beta4_pH[4,23] 0.802 0.268 0.430 0.761 1.345
beta4_pH[5,23] 0.672 0.529 0.084 0.527 1.961
beta4_pH[6,23] 1.960 1.765 0.230 1.332 6.709
beta4_pH[7,23] 1.107 0.604 0.348 0.969 2.463
beta4_pH[8,23] 0.750 0.421 0.224 0.656 1.720
beta4_pH[9,23] 0.909 0.539 0.272 0.768 2.173
beta4_pH[10,23] 0.725 0.278 0.344 0.673 1.288
beta4_pH[11,23] 0.693 0.247 0.352 0.654 1.188
beta4_pH[12,23] 0.934 0.383 0.436 0.850 1.726
beta4_pH[13,23] 0.740 0.268 0.378 0.690 1.292
beta4_pH[14,23] 1.011 0.334 0.561 0.951 1.695
beta4_pH[15,23] 0.911 0.268 0.536 0.864 1.433
beta4_pH[16,23] 0.897 0.361 0.419 0.822 1.663
beta4_pH[1,24] 0.697 0.290 0.305 0.650 1.290
beta4_pH[2,24] 0.856 0.216 0.542 0.834 1.260
beta4_pH[3,24] 0.913 0.283 0.515 0.869 1.475
beta4_pH[4,24] 0.808 0.267 0.434 0.765 1.341
beta4_pH[5,24] 0.664 0.525 0.087 0.518 1.974
beta4_pH[6,24] 1.926 1.724 0.227 1.342 6.615
beta4_pH[7,24] 1.097 0.611 0.345 0.950 2.475
beta4_pH[8,24] 0.765 0.431 0.226 0.666 1.727
beta4_pH[9,24] 0.920 0.535 0.276 0.788 2.182
beta4_pH[10,24] 0.721 0.272 0.346 0.682 1.282
beta4_pH[11,24] 0.690 0.247 0.353 0.643 1.191
beta4_pH[12,24] 0.937 0.384 0.439 0.847 1.745
beta4_pH[13,24] 0.750 0.266 0.382 0.703 1.289
beta4_pH[14,24] 1.027 0.336 0.562 0.966 1.701
beta4_pH[15,24] 0.919 0.267 0.540 0.880 1.440
beta4_pH[16,24] 0.893 0.357 0.418 0.825 1.651
beta4_pH[1,25] 0.688 0.291 0.303 0.630 1.284
beta4_pH[2,25] 0.857 0.216 0.543 0.828 1.263
beta4_pH[3,25] 0.909 0.286 0.513 0.866 1.483
beta4_pH[4,25] 0.805 0.272 0.433 0.760 1.350
beta4_pH[5,25] 0.667 0.519 0.087 0.525 1.963
beta4_pH[6,25] 1.961 1.769 0.229 1.350 6.756
beta4_pH[7,25] 1.102 0.617 0.352 0.935 2.481
beta4_pH[8,25] 0.758 0.429 0.227 0.658 1.717
beta4_pH[9,25] 0.931 0.551 0.278 0.779 2.183
beta4_pH[10,25] 0.725 0.279 0.345 0.676 1.296
beta4_pH[11,25] 0.687 0.249 0.352 0.638 1.191
beta4_pH[12,25] 0.913 0.375 0.439 0.825 1.722
beta4_pH[13,25] 0.746 0.264 0.381 0.700 1.282
beta4_pH[14,25] 1.028 0.338 0.557 0.970 1.703
beta4_pH[15,25] 0.925 0.269 0.538 0.884 1.443
beta4_pH[16,25] 0.916 0.373 0.419 0.834 1.669
beta4_pH[1,26] 0.697 0.288 0.303 0.651 1.287
beta4_pH[2,26] 0.858 0.217 0.545 0.831 1.268
beta4_pH[3,26] 0.912 0.286 0.514 0.867 1.481
beta4_pH[4,26] 0.801 0.272 0.430 0.755 1.338
beta4_pH[5,26] 0.685 0.534 0.087 0.541 1.983
beta4_pH[6,26] 1.910 1.736 0.229 1.330 6.803
beta4_pH[7,26] 1.089 0.611 0.353 0.935 2.505
beta4_pH[8,26] 0.771 0.437 0.227 0.674 1.747
beta4_pH[9,26] 0.932 0.551 0.273 0.795 2.200
beta4_pH[10,26] 0.731 0.280 0.346 0.680 1.298
beta4_pH[11,26] 0.691 0.247 0.354 0.640 1.186
beta4_pH[12,26] 0.932 0.377 0.440 0.855 1.719
beta4_pH[13,26] 0.747 0.269 0.379 0.696 1.297
beta4_pH[14,26] 1.027 0.337 0.564 0.970 1.698
beta4_pH[15,26] 0.920 0.273 0.535 0.876 1.446
beta4_pH[16,26] 0.904 0.358 0.422 0.836 1.658
beta4_pH[1,27] 0.687 0.283 0.307 0.639 1.278
beta4_pH[2,27] 0.853 0.214 0.543 0.826 1.265
beta4_pH[3,27] 0.906 0.285 0.511 0.862 1.477
beta4_pH[4,27] 0.800 0.270 0.429 0.755 1.337
beta4_pH[5,27] 0.678 0.528 0.086 0.538 1.985
beta4_pH[6,27] 1.917 1.735 0.227 1.307 6.572
beta4_pH[7,27] 1.093 0.619 0.348 0.932 2.522
beta4_pH[8,27] 0.756 0.431 0.226 0.651 1.733
beta4_pH[9,27] 0.913 0.540 0.276 0.758 2.169
beta4_pH[10,27] 0.721 0.278 0.345 0.672 1.291
beta4_pH[11,27] 0.685 0.247 0.351 0.640 1.192
beta4_pH[12,27] 0.934 0.380 0.440 0.841 1.721
beta4_pH[13,27] 0.754 0.276 0.381 0.704 1.295
beta4_pH[14,27] 1.036 0.341 0.560 0.985 1.707
beta4_pH[15,27] 0.916 0.271 0.536 0.870 1.443
beta4_pH[16,27] 0.898 0.361 0.419 0.814 1.657
beta4_pH[1,28] 0.689 0.286 0.304 0.642 1.284
beta4_pH[2,28] 0.853 0.217 0.545 0.825 1.259
beta4_pH[3,28] 0.905 0.284 0.513 0.851 1.472
beta4_pH[4,28] 0.817 0.273 0.433 0.785 1.340
beta4_pH[5,28] 0.660 0.525 0.086 0.519 1.980
beta4_pH[6,28] 1.935 1.731 0.230 1.333 6.568
beta4_pH[7,28] 1.088 0.605 0.346 0.945 2.466
beta4_pH[8,28] 0.765 0.426 0.229 0.669 1.718
beta4_pH[9,28] 0.940 0.543 0.278 0.803 2.201
beta4_pH[10,28] 0.720 0.272 0.345 0.676 1.289
beta4_pH[11,28] 0.699 0.247 0.352 0.660 1.183
beta4_pH[12,28] 0.932 0.385 0.439 0.839 1.736
beta4_pH[13,28] 0.756 0.273 0.381 0.707 1.299
beta4_pH[14,28] 1.022 0.331 0.565 0.959 1.691
beta4_pH[15,28] 0.925 0.270 0.541 0.888 1.442
beta4_pH[16,28] 0.886 0.363 0.416 0.805 1.664
beta4_pH[1,29] 0.694 0.288 0.306 0.645 1.281
beta4_pH[2,29] 0.848 0.219 0.542 0.818 1.261
beta4_pH[3,29] 0.917 0.281 0.518 0.886 1.468
beta4_pH[4,29] 0.802 0.265 0.431 0.759 1.338
beta4_pH[5,29] 0.680 0.524 0.086 0.554 1.986
beta4_pH[6,29] 1.970 1.766 0.232 1.356 6.596
beta4_pH[7,29] 1.101 0.628 0.351 0.937 2.512
beta4_pH[8,29] 0.779 0.433 0.230 0.691 1.730
beta4_pH[9,29] 0.914 0.540 0.276 0.763 2.198
beta4_pH[10,29] 0.722 0.279 0.345 0.673 1.287
beta4_pH[11,29] 0.692 0.247 0.351 0.652 1.189
beta4_pH[12,29] 0.920 0.377 0.437 0.830 1.736
beta4_pH[13,29] 0.752 0.270 0.382 0.705 1.298
beta4_pH[14,29] 1.035 0.336 0.562 0.982 1.693
beta4_pH[15,29] 0.923 0.269 0.540 0.892 1.444
beta4_pH[16,29] 0.900 0.364 0.419 0.823 1.659
beta4_pH[1,30] 0.696 0.291 0.306 0.641 1.284
beta4_pH[2,30] 0.852 0.216 0.543 0.821 1.261
beta4_pH[3,30] 0.909 0.279 0.513 0.870 1.468
beta4_pH[4,30] 0.808 0.275 0.428 0.757 1.351
beta4_pH[5,30] 0.672 0.525 0.085 0.530 1.974
beta4_pH[6,30] 1.975 1.735 0.232 1.421 6.710
beta4_pH[7,30] 1.117 0.623 0.345 0.957 2.500
beta4_pH[8,30] 0.756 0.425 0.226 0.660 1.707
beta4_pH[9,30] 0.921 0.539 0.275 0.778 2.181
beta4_pH[10,30] 0.725 0.277 0.346 0.682 1.278
beta4_pH[11,30] 0.691 0.247 0.351 0.643 1.186
beta4_pH[12,30] 0.931 0.376 0.435 0.839 1.732
beta4_pH[13,30] 0.740 0.267 0.379 0.690 1.298
beta4_pH[14,30] 1.034 0.340 0.565 0.987 1.702
beta4_pH[15,30] 0.911 0.269 0.538 0.863 1.438
beta4_pH[16,30] 0.896 0.358 0.420 0.825 1.651
beta4_pH[1,31] 0.684 0.287 0.306 0.627 1.292
beta4_pH[2,31] 0.857 0.216 0.546 0.830 1.263
beta4_pH[3,31] 0.913 0.285 0.515 0.868 1.472
beta4_pH[4,31] 0.814 0.272 0.432 0.766 1.340
beta4_pH[5,31] 0.671 0.520 0.088 0.536 1.956
beta4_pH[6,31] 1.873 1.730 0.221 1.236 6.613
beta4_pH[7,31] 1.092 0.621 0.346 0.942 2.473
beta4_pH[8,31] 0.767 0.426 0.228 0.668 1.724
beta4_pH[9,31] 0.917 0.540 0.274 0.778 2.190
beta4_pH[10,31] 0.722 0.280 0.345 0.674 1.292
beta4_pH[11,31] 0.691 0.249 0.351 0.645 1.198
beta4_pH[12,31] 0.930 0.379 0.440 0.848 1.721
beta4_pH[13,31] 0.747 0.265 0.381 0.709 1.290
beta4_pH[14,31] 1.023 0.333 0.559 0.974 1.687
beta4_pH[15,31] 0.913 0.267 0.537 0.867 1.434
beta4_pH[16,31] 0.902 0.362 0.421 0.834 1.656
beta4_pH[1,32] 0.696 0.289 0.306 0.641 1.281
beta4_pH[2,32] 0.856 0.217 0.544 0.825 1.262
beta4_pH[3,32] 0.914 0.291 0.511 0.856 1.485
beta4_pH[4,32] 0.805 0.265 0.431 0.768 1.335
beta4_pH[5,32] 0.676 0.533 0.086 0.539 1.966
beta4_pH[6,32] 1.934 1.745 0.233 1.314 6.547
beta4_pH[7,32] 1.104 0.610 0.349 0.948 2.466
beta4_pH[8,32] 0.766 0.437 0.227 0.665 1.731
beta4_pH[9,32] 0.948 0.546 0.277 0.806 2.188
beta4_pH[10,32] 0.726 0.279 0.344 0.675 1.286
beta4_pH[11,32] 0.696 0.251 0.352 0.646 1.192
beta4_pH[12,32] 0.924 0.372 0.439 0.844 1.707
beta4_pH[13,32] 0.755 0.270 0.380 0.704 1.292
beta4_pH[14,32] 1.024 0.335 0.561 0.966 1.702
beta4_pH[15,32] 0.917 0.270 0.537 0.878 1.442
beta4_pH[16,32] 0.901 0.366 0.419 0.822 1.650
beta4_pH[1,33] 0.693 0.287 0.306 0.648 1.285
beta4_pH[2,33] 0.849 0.213 0.544 0.814 1.259
beta4_pH[3,33] 0.914 0.284 0.514 0.869 1.474
beta4_pH[4,33] 0.803 0.269 0.431 0.760 1.351
beta4_pH[5,33] 0.669 0.535 0.086 0.521 1.976
beta4_pH[6,33] 1.959 1.771 0.229 1.340 6.714
beta4_pH[7,33] 1.113 0.624 0.347 0.962 2.501
beta4_pH[8,33] 0.767 0.426 0.225 0.675 1.726
beta4_pH[9,33] 0.917 0.544 0.273 0.776 2.199
beta4_pH[10,33] 0.722 0.275 0.346 0.677 1.292
beta4_pH[11,33] 0.686 0.246 0.350 0.643 1.190
beta4_pH[12,33] 0.931 0.376 0.440 0.843 1.726
beta4_pH[13,33] 0.746 0.271 0.378 0.695 1.298
beta4_pH[14,33] 1.029 0.341 0.559 0.974 1.715
beta4_pH[15,33] 0.919 0.268 0.537 0.877 1.444
beta4_pH[16,33] 0.906 0.361 0.423 0.835 1.651
beta4_pH[1,34] 0.692 0.288 0.305 0.638 1.282
beta4_pH[2,34] 0.841 0.212 0.543 0.812 1.259
beta4_pH[3,34] 0.923 0.287 0.514 0.882 1.487
beta4_pH[4,34] 0.802 0.274 0.429 0.759 1.338
beta4_pH[5,34] 0.687 0.530 0.083 0.553 1.949
beta4_pH[6,34] 1.959 1.752 0.230 1.374 6.786
beta4_pH[7,34] 1.086 0.605 0.345 0.953 2.499
beta4_pH[8,34] 0.757 0.424 0.227 0.663 1.706
beta4_pH[9,34] 0.927 0.536 0.276 0.784 2.166
beta4_pH[10,34] 0.729 0.277 0.346 0.680 1.293
beta4_pH[11,34] 0.692 0.249 0.352 0.646 1.193
beta4_pH[12,34] 0.927 0.376 0.438 0.848 1.717
beta4_pH[13,34] 0.754 0.270 0.383 0.712 1.295
beta4_pH[14,34] 1.024 0.337 0.560 0.966 1.712
beta4_pH[15,34] 0.924 0.269 0.536 0.882 1.435
beta4_pH[16,34] 0.901 0.363 0.415 0.827 1.656
beta4_pH[1,35] 0.413 0.144 0.197 0.389 0.753
beta4_pH[2,35] 0.783 0.085 0.632 0.778 0.968
beta4_pH[3,35] 1.025 0.168 0.724 1.013 1.384
beta4_pH[4,35] 0.592 0.216 0.280 0.558 1.117
beta4_pH[5,35] 0.127 0.097 0.027 0.100 0.383
beta4_pH[6,35] 0.738 0.637 0.129 0.559 2.432
beta4_pH[7,35] 2.299 1.886 0.429 1.758 7.473
beta4_pH[8,35] 0.525 0.263 0.192 0.469 1.185
beta4_pH[9,35] 0.614 0.535 0.093 0.462 2.051
beta4_pH[10,35] 0.631 0.134 0.408 0.618 0.926
beta4_pH[11,35] 0.754 0.195 0.448 0.731 1.201
beta4_pH[12,35] 1.427 0.931 0.405 1.188 3.796
beta4_pH[13,35] 0.731 0.108 0.547 0.719 0.964
beta4_pH[14,35] 0.790 0.270 0.400 0.748 1.432
beta4_pH[15,35] 0.881 0.118 0.671 0.875 1.133
beta4_pH[16,35] 0.598 0.270 0.237 0.550 1.278
beta4_pH[1,36] 0.921 0.204 0.594 0.894 1.389
beta4_pH[2,36] 0.860 0.110 0.661 0.852 1.098
beta4_pH[3,36] 0.877 0.149 0.623 0.864 1.202
beta4_pH[4,36] 0.763 0.240 0.393 0.728 1.319
beta4_pH[5,36] 0.678 0.788 0.074 0.451 2.657
beta4_pH[6,36] 5.817 4.269 0.806 4.652 17.180
beta4_pH[7,36] 1.135 0.645 0.349 1.007 2.652
beta4_pH[8,36] 0.927 0.391 0.370 0.852 1.892
beta4_pH[9,36] 0.535 0.386 0.123 0.439 1.484
beta4_pH[10,36] 0.458 0.124 0.264 0.443 0.731
beta4_pH[11,36] 0.552 0.107 0.370 0.543 0.778
beta4_pH[12,36] 0.848 0.453 0.268 0.752 1.955
beta4_pH[13,36] 0.795 0.127 0.578 0.787 1.067
beta4_pH[14,36] 1.245 0.455 0.592 1.159 2.384
beta4_pH[15,36] 0.955 0.135 0.710 0.948 1.242
beta4_pH[16,36] 1.026 0.386 0.457 0.960 1.944
beta4_pH[1,37] 0.765 0.177 0.476 0.747 1.146
beta4_pH[2,37] 0.770 0.086 0.615 0.767 0.951
beta4_pH[3,37] 0.908 0.135 0.673 0.900 1.204
beta4_pH[4,37] 0.756 0.228 0.392 0.727 1.291
beta4_pH[5,37] 1.134 1.287 0.115 0.734 4.475
beta4_pH[6,37] 2.075 2.151 0.260 1.396 7.930
beta4_pH[7,37] 1.225 0.801 0.301 1.030 3.230
beta4_pH[8,37] 0.964 0.416 0.392 0.886 1.953
beta4_pH[9,37] 1.823 1.870 0.212 1.239 6.913
beta4_pH[10,37] 0.769 0.153 0.512 0.751 1.108
beta4_pH[11,37] 0.840 0.173 0.551 0.825 1.227
beta4_pH[12,37] 0.793 0.490 0.219 0.676 2.038
beta4_pH[13,37] 0.618 0.094 0.456 0.608 0.814
beta4_pH[14,37] 1.016 0.366 0.477 0.950 1.904
beta4_pH[15,37] 0.702 0.101 0.527 0.696 0.913
beta4_pH[16,37] 0.609 0.182 0.325 0.580 1.045
beta4_pH[1,38] 0.734 0.155 0.477 0.716 1.078
beta4_pH[2,38] 0.712 0.083 0.564 0.706 0.890
beta4_pH[3,38] 0.893 0.163 0.614 0.880 1.241
beta4_pH[4,38] 0.898 0.242 0.513 0.866 1.467
beta4_pH[5,38] 0.514 0.425 0.100 0.401 1.621
beta4_pH[6,38] 1.652 1.957 0.131 1.012 7.195
beta4_pH[7,38] 0.514 0.304 0.151 0.444 1.283
beta4_pH[8,38] 0.763 0.307 0.337 0.711 1.545
beta4_pH[9,38] 1.577 1.127 0.383 1.283 4.527
beta4_pH[10,38] 0.725 0.156 0.471 0.706 1.083
beta4_pH[11,38] 0.534 0.134 0.315 0.518 0.840
beta4_pH[12,38] 0.782 0.480 0.219 0.666 2.037
beta4_pH[13,38] 0.912 0.184 0.602 0.893 1.347
beta4_pH[14,38] 1.158 0.468 0.510 1.069 2.282
beta4_pH[15,38] 0.847 0.095 0.675 0.840 1.054
beta4_pH[16,38] 0.825 0.345 0.345 0.763 1.668
beta4_pH[1,39] 0.702 0.138 0.468 0.688 1.007
beta4_pH[2,39] 0.869 0.103 0.682 0.861 1.082
beta4_pH[3,39] 0.841 0.121 0.627 0.832 1.101
beta4_pH[4,39] 0.847 0.292 0.429 0.794 1.553
beta4_pH[5,39] 1.100 1.264 0.122 0.717 4.263
beta4_pH[6,39] 0.463 0.621 0.036 0.273 2.082
beta4_pH[7,39] 1.854 1.662 0.299 1.360 6.176
beta4_pH[8,39] 1.378 0.773 0.442 1.207 3.351
beta4_pH[9,39] 2.034 1.703 0.374 1.543 6.698
beta4_pH[10,39] 0.757 0.206 0.430 0.730 1.216
beta4_pH[11,39] 0.695 0.176 0.413 0.671 1.107
beta4_pH[12,39] 0.793 0.460 0.241 0.694 1.917
beta4_pH[13,39] 0.726 0.119 0.523 0.715 0.991
beta4_pH[14,39] 0.985 0.377 0.454 0.916 1.901
beta4_pH[15,39] 0.998 0.109 0.803 0.994 1.226
beta4_pH[16,39] 0.854 0.341 0.371 0.794 1.697
beta4_pH[1,40] 0.774 0.133 0.554 0.760 1.071
beta4_pH[2,40] 0.761 0.085 0.604 0.758 0.943
beta4_pH[3,40] 0.927 0.146 0.676 0.913 1.248
beta4_pH[4,40] 0.888 0.210 0.549 0.867 1.360
beta4_pH[5,40] 0.319 0.221 0.074 0.258 0.895
beta4_pH[6,40] 2.073 2.168 0.238 1.347 8.370
beta4_pH[7,40] 1.574 1.360 0.273 1.187 5.010
beta4_pH[8,40] 0.354 0.278 0.073 0.280 1.016
beta4_pH[9,40] 0.522 0.550 0.070 0.366 1.949
beta4_pH[10,40] 0.919 0.246 0.524 0.886 1.487
beta4_pH[11,40] 0.460 0.114 0.282 0.446 0.724
beta4_pH[12,40] 0.654 0.384 0.193 0.559 1.636
beta4_pH[13,40] 0.788 0.118 0.590 0.776 1.043
beta4_pH[14,40] 0.756 0.248 0.383 0.712 1.332
beta4_pH[15,40] 0.840 0.096 0.663 0.835 1.044
beta4_pH[16,40] 1.143 0.485 0.470 1.053 2.349
beta4_pH[1,41] 0.612 0.131 0.398 0.598 0.914
beta4_pH[2,41] 0.789 0.102 0.603 0.785 1.001
beta4_pH[3,41] 0.883 0.143 0.635 0.872 1.195
beta4_pH[4,41] 0.874 0.386 0.363 0.799 1.791
beta4_pH[5,41] 1.417 0.813 0.440 1.226 3.672
beta4_pH[6,41] 2.920 3.023 0.277 1.943 12.189
beta4_pH[7,41] 0.815 0.492 0.231 0.702 2.142
beta4_pH[8,41] 1.180 0.712 0.326 1.011 3.003
beta4_pH[9,41] 0.526 0.570 0.058 0.347 1.893
beta4_pH[10,41] 0.783 0.170 0.499 0.764 1.160
beta4_pH[11,41] 0.846 0.235 0.477 0.814 1.397
beta4_pH[12,41] 0.970 0.482 0.361 0.868 2.201
beta4_pH[13,41] 0.696 0.112 0.500 0.688 0.929
beta4_pH[14,41] 1.131 0.349 0.587 1.083 1.933
beta4_pH[15,41] 0.785 0.101 0.605 0.777 0.997
beta4_pH[16,41] 0.939 0.447 0.366 0.837 2.106
beta4_pH[1,42] 0.674 0.143 0.444 0.659 1.001
beta4_pH[2,42] 0.785 0.098 0.609 0.781 0.985
beta4_pH[3,42] 0.796 0.150 0.542 0.783 1.136
beta4_pH[4,42] 0.973 0.313 0.502 0.922 1.697
beta4_pH[5,42] 1.446 1.643 0.146 0.951 6.038
beta4_pH[6,42] 0.352 0.279 0.065 0.273 1.100
beta4_pH[7,42] 0.946 0.580 0.258 0.808 2.409
beta4_pH[8,42] 0.776 0.335 0.319 0.710 1.603
beta4_pH[9,42] 0.811 0.604 0.181 0.645 2.432
beta4_pH[10,42] 0.918 0.204 0.573 0.897 1.355
beta4_pH[11,42] 0.638 0.141 0.407 0.623 0.958
beta4_pH[12,42] 0.844 0.392 0.312 0.764 1.800
beta4_pH[13,42] 0.513 0.164 0.266 0.490 0.909
beta4_pH[14,42] 0.909 0.325 0.434 0.857 1.692
beta4_pH[15,42] 0.922 0.093 0.756 0.918 1.118
beta4_pH[16,42] 0.572 0.206 0.276 0.538 1.069
beta4_pH[1,43] 0.802 0.193 0.487 0.781 1.222
beta4_pH[2,43] 0.754 0.083 0.603 0.748 0.928
beta4_pH[3,43] 0.670 0.095 0.503 0.664 0.862
beta4_pH[4,43] 0.856 0.283 0.439 0.808 1.526
beta4_pH[5,43] 1.592 0.752 0.600 1.442 3.520
beta4_pH[6,43] 1.119 0.926 0.207 0.878 3.600
beta4_pH[7,43] 0.727 0.635 0.134 0.547 2.326
beta4_pH[8,43] 0.647 0.295 0.249 0.592 1.375
beta4_pH[9,43] 1.140 1.091 0.167 0.831 3.842
beta4_pH[10,43] 0.679 0.145 0.434 0.664 1.006
beta4_pH[11,43] 0.639 0.137 0.415 0.624 0.943
beta4_pH[12,43] 0.774 0.386 0.274 0.687 1.725
beta4_pH[13,43] 0.585 0.119 0.379 0.576 0.838
beta4_pH[14,43] 1.113 0.351 0.581 1.064 1.962
beta4_pH[15,43] 0.848 0.103 0.662 0.841 1.062
beta4_pH[16,43] 1.226 0.451 0.567 1.160 2.318
beta4_pH[1,44] 0.607 0.161 0.352 0.586 0.967
beta4_pH[2,44] 0.704 0.081 0.563 0.699 0.878
beta4_pH[3,44] 0.634 0.100 0.462 0.625 0.853
beta4_pH[4,44] 0.835 0.209 0.508 0.812 1.286
beta4_pH[5,44] 1.253 0.596 0.448 1.127 2.724
beta4_pH[6,44] 1.253 1.403 0.125 0.800 4.805
beta4_pH[7,44] 1.175 0.637 0.356 1.040 2.819
beta4_pH[8,44] 0.443 0.287 0.118 0.376 1.171
beta4_pH[9,44] 1.003 0.898 0.161 0.743 3.374
beta4_pH[10,44] 0.628 0.156 0.384 0.607 0.994
beta4_pH[11,44] 0.353 0.123 0.171 0.334 0.661
beta4_pH[12,44] 0.600 0.316 0.201 0.534 1.391
beta4_pH[13,44] 0.541 0.100 0.374 0.532 0.760
beta4_pH[14,44] 0.682 0.177 0.408 0.659 1.084
beta4_pH[15,44] 0.647 0.085 0.497 0.642 0.827
beta4_pH[16,44] 0.434 0.187 0.176 0.400 0.911
beta4_pH[1,45] 0.800 0.197 0.488 0.776 1.229
beta4_pH[2,45] 0.709 0.089 0.547 0.707 0.894
beta4_pH[3,45] 0.771 0.140 0.533 0.759 1.074
beta4_pH[4,45] 0.753 0.198 0.447 0.726 1.203
beta4_pH[5,45] 0.980 1.171 0.099 0.623 4.003
beta4_pH[6,45] 1.225 1.144 0.183 0.882 4.214
beta4_pH[7,45] 0.700 0.595 0.118 0.524 2.318
beta4_pH[8,45] 1.182 0.536 0.465 1.074 2.520
beta4_pH[9,45] 0.106 0.128 0.011 0.066 0.443
beta4_pH[10,45] 0.857 0.207 0.526 0.826 1.314
beta4_pH[11,45] 0.469 0.103 0.302 0.458 0.713
beta4_pH[12,45] 0.785 0.367 0.302 0.712 1.665
beta4_pH[13,45] 0.463 0.077 0.331 0.457 0.635
beta4_pH[14,45] 0.747 0.176 0.458 0.729 1.157
beta4_pH[15,45] 0.512 0.073 0.387 0.507 0.668
beta4_pH[16,45] 0.264 0.159 0.077 0.226 0.660
beta4_pH[1,46] 0.799 0.164 0.532 0.783 1.158
beta4_pH[2,46] 0.678 0.098 0.504 0.671 0.890
beta4_pH[3,46] 0.756 0.117 0.548 0.745 1.017
beta4_pH[4,46] 0.858 0.312 0.399 0.806 1.602
beta4_pH[5,46] 1.138 0.629 0.369 0.994 2.800
beta4_pH[6,46] 1.423 1.775 0.107 0.867 6.496
beta4_pH[7,46] 1.655 1.253 0.355 1.320 4.935
beta4_pH[8,46] 1.058 0.469 0.410 0.968 2.232
beta4_pH[9,46] 1.602 1.559 0.213 1.162 5.609
beta4_pH[10,46] 0.660 0.174 0.390 0.635 1.058
beta4_pH[11,46] 0.699 0.159 0.434 0.687 1.066
beta4_pH[12,46] 1.133 0.579 0.398 1.004 2.553
beta4_pH[13,46] 0.593 0.179 0.315 0.569 1.014
beta4_pH[14,46] 0.981 0.353 0.460 0.919 1.835
beta4_pH[15,46] 0.620 0.076 0.486 0.616 0.779
beta4_pH[16,46] 0.620 0.268 0.248 0.569 1.304
beta4_pH[1,47] 0.623 0.144 0.384 0.608 0.944
beta4_pH[2,47] 0.768 0.112 0.572 0.760 1.010
beta4_pH[3,47] 0.769 0.117 0.572 0.759 1.031
beta4_pH[4,47] 0.553 0.227 0.234 0.512 1.112
beta4_pH[5,47] 0.115 0.088 0.024 0.089 0.353
beta4_pH[6,47] 0.183 0.129 0.041 0.148 0.525
beta4_pH[7,47] 0.476 0.414 0.078 0.361 1.517
beta4_pH[8,47] 0.846 0.560 0.216 0.698 2.237
beta4_pH[9,47] 0.487 0.665 0.041 0.283 2.221
beta4_pH[10,47] 0.851 0.272 0.434 0.816 1.485
beta4_pH[11,47] 0.585 0.122 0.384 0.570 0.856
beta4_pH[12,47] 1.622 1.012 0.465 1.371 4.201
beta4_pH[13,47] 0.683 0.118 0.483 0.671 0.938
beta4_pH[14,47] 0.856 0.323 0.397 0.799 1.651
beta4_pH[15,47] 0.709 0.117 0.502 0.700 0.966
beta4_pH[16,47] 0.811 0.336 0.341 0.753 1.623
beta0_pelagic[1] 2.250 0.143 1.974 2.249 2.536
beta0_pelagic[2] 1.479 0.129 1.220 1.482 1.733
beta0_pelagic[3] 0.216 0.351 -0.709 0.268 0.724
beta0_pelagic[4] 0.246 0.450 -0.906 0.308 0.918
beta0_pelagic[5] 1.439 0.212 1.034 1.438 1.861
beta0_pelagic[6] 1.365 0.159 1.045 1.364 1.687
beta0_pelagic[7] 1.514 0.146 1.224 1.514 1.798
beta0_pelagic[8] 1.747 0.145 1.459 1.747 2.026
beta0_pelagic[9] 2.656 0.170 2.318 2.654 2.991
beta0_pelagic[10] 2.535 0.135 2.270 2.535 2.789
beta0_pelagic[11] -0.447 0.335 -1.231 -0.418 0.144
beta0_pelagic[12] 1.723 0.146 1.443 1.720 2.013
beta0_pelagic[13] 0.335 0.352 -0.821 0.406 0.755
beta0_pelagic[14] -0.191 0.274 -0.816 -0.161 0.271
beta0_pelagic[15] -0.259 0.178 -0.660 -0.247 0.054
beta0_pelagic[16] -0.425 0.333 -1.227 -0.402 0.156
beta1_pelagic[1] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[2] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[3] 0.682 0.433 0.039 0.625 1.964
beta1_pelagic[4] 0.869 0.475 0.065 0.824 2.085
beta1_pelagic[5] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[6] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[7] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[8] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[9] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[10] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[11] 1.546 0.390 0.834 1.528 2.359
beta1_pelagic[12] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[13] 0.671 0.597 0.015 0.554 2.379
beta1_pelagic[14] 1.509 0.498 0.725 1.430 2.687
beta1_pelagic[15] 0.125 0.183 0.011 0.057 0.572
beta1_pelagic[16] 1.481 0.463 0.752 1.422 2.640
beta2_pelagic[1] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[2] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[3] 6.791 5.957 0.143 5.383 21.336
beta2_pelagic[4] 6.953 5.956 0.300 5.568 22.078
beta2_pelagic[5] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[6] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[7] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[8] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[9] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[10] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[11] 2.109 1.633 0.316 1.614 6.396
beta2_pelagic[12] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[13] 2.117 1.824 0.089 1.610 6.617
beta2_pelagic[14] 1.420 1.505 0.187 0.816 5.753
beta2_pelagic[15] 2.481 1.919 0.077 2.058 7.159
beta2_pelagic[16] 1.697 1.597 0.191 1.128 6.129
beta3_pelagic[1] 29.018 6.304 18.728 28.858 39.478
beta3_pelagic[2] 29.131 6.371 18.635 29.082 39.498
beta3_pelagic[3] 28.339 3.648 21.329 28.708 36.382
beta3_pelagic[4] 25.420 2.699 20.558 25.531 32.029
beta3_pelagic[5] 29.054 6.415 18.549 29.033 39.431
beta3_pelagic[6] 29.090 6.309 18.557 29.060 39.517
beta3_pelagic[7] 28.973 6.240 18.628 28.762 39.489
beta3_pelagic[8] 28.956 6.243 18.569 28.898 39.372
beta3_pelagic[9] 28.677 6.343 18.535 28.337 39.493
beta3_pelagic[10] 29.163 6.331 18.678 29.107 39.447
beta3_pelagic[11] 29.480 1.337 26.601 29.519 32.131
beta3_pelagic[12] 28.932 6.331 18.601 29.024 39.442
beta3_pelagic[13] 34.061 5.105 20.107 35.437 39.824
beta3_pelagic[14] 34.443 2.083 30.652 34.362 38.981
beta3_pelagic[15] 29.969 6.608 18.554 30.528 39.711
beta3_pelagic[16] 31.091 1.786 27.741 30.922 35.108
beta0_yellow[1] -0.513 0.160 -0.827 -0.513 -0.196
beta0_yellow[2] 0.556 0.247 -0.116 0.582 0.913
beta0_yellow[3] -0.145 0.212 -0.584 -0.140 0.244
beta0_yellow[4] 0.943 0.312 0.027 0.998 1.358
beta0_yellow[5] 0.431 0.339 -0.350 0.478 0.968
beta0_yellow[6] 0.812 0.164 0.492 0.812 1.144
beta0_yellow[7] 0.925 0.169 0.609 0.919 1.266
beta0_yellow[8] 0.970 0.166 0.661 0.966 1.314
beta0_yellow[9] 0.576 0.172 0.218 0.584 0.899
beta0_yellow[10] 0.697 0.143 0.408 0.699 0.978
beta0_yellow[11] 0.186 0.175 -0.163 0.182 0.531
beta0_yellow[12] -1.121 0.181 -1.476 -1.120 -0.768
beta0_yellow[13] -0.848 0.172 -1.177 -0.848 -0.503
beta0_yellow[14] 0.022 0.179 -0.329 0.023 0.373
beta0_yellow[15] -0.782 0.175 -1.120 -0.782 -0.451
beta0_yellow[16] -0.235 0.172 -0.563 -0.236 0.101
beta1_yellow[1] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[2] 1.011 0.417 0.449 0.962 2.166
beta1_yellow[3] 0.418 0.293 0.014 0.418 0.974
beta1_yellow[4] 1.262 0.685 0.495 1.118 3.608
beta1_yellow[5] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[6] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[7] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[8] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[9] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[10] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[11] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[12] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[13] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[14] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[15] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[16] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[1] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[2] -7.139 5.773 -20.647 -5.857 -0.146
beta2_yellow[3] -7.911 5.794 -21.588 -6.858 -0.366
beta2_yellow[4] -6.578 5.993 -21.018 -4.923 -0.108
beta2_yellow[5] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[6] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[7] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[8] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[9] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[10] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[11] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[12] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[13] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[14] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[15] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[16] 0.000 0.000 0.000 0.000 0.000
beta3_yellow[1] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[2] 29.239 2.078 25.894 28.827 33.877
beta3_yellow[3] 32.083 4.231 20.503 32.497 39.865
beta3_yellow[4] 28.588 3.178 22.758 27.703 35.851
beta3_yellow[5] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[6] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[7] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[8] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[9] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[10] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[11] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[12] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[13] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[14] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[15] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[16] 25.000 0.000 25.000 25.000 25.000
beta0_black[1] -0.002 0.152 -0.297 0.001 0.294
beta0_black[2] 1.892 0.138 1.622 1.892 2.165
beta0_black[3] 1.374 0.143 1.089 1.376 1.655
beta0_black[4] 2.486 0.144 2.199 2.486 2.758
beta0_black[5] 4.635 2.155 1.819 4.186 10.192
beta0_black[6] 4.422 1.915 2.119 3.928 9.626
beta0_black[7] 3.327 1.878 1.305 2.818 8.853
beta0_black[8] 0.919 0.234 0.482 0.913 1.385
beta0_black[9] 2.593 0.252 2.103 2.586 3.095
beta0_black[10] 1.376 0.139 1.098 1.376 1.642
beta0_black[11] 3.464 0.172 3.127 3.467 3.794
beta0_black[12] 4.844 0.197 4.452 4.849 5.233
beta0_black[13] 0.248 0.187 0.009 0.209 0.687
beta0_black[14] 2.988 0.177 2.652 2.984 3.351
beta0_black[15] 1.408 0.173 1.071 1.408 1.754
beta0_black[16] 4.243 0.178 3.900 4.244 4.586
beta2_black[1] 0.000 0.000 0.000 0.000 0.000
beta2_black[2] 0.000 0.000 0.000 0.000 0.000
beta2_black[3] 0.000 0.000 0.000 0.000 0.000
beta2_black[4] 0.000 0.000 0.000 0.000 0.000
beta2_black[5] 0.000 0.000 0.000 0.000 0.000
beta2_black[6] 0.000 0.000 0.000 0.000 0.000
beta2_black[7] 0.000 0.000 0.000 0.000 0.000
beta2_black[8] 0.000 0.000 0.000 0.000 0.000
beta2_black[9] 0.000 0.000 0.000 0.000 0.000
beta2_black[10] 0.000 0.000 0.000 0.000 0.000
beta2_black[11] 0.000 0.000 0.000 0.000 0.000
beta2_black[12] 0.000 0.000 0.000 0.000 0.000
beta2_black[13] -2.431 1.593 -6.458 -1.994 -0.489
beta2_black[14] 0.000 0.000 0.000 0.000 0.000
beta2_black[15] 0.000 0.000 0.000 0.000 0.000
beta2_black[16] 0.000 0.000 0.000 0.000 0.000
beta3_black[1] 25.000 0.000 25.000 25.000 25.000
beta3_black[2] 25.000 0.000 25.000 25.000 25.000
beta3_black[3] 25.000 0.000 25.000 25.000 25.000
beta3_black[4] 25.000 0.000 25.000 25.000 25.000
beta3_black[5] 25.000 0.000 25.000 25.000 25.000
beta3_black[6] 25.000 0.000 25.000 25.000 25.000
beta3_black[7] 25.000 0.000 25.000 25.000 25.000
beta3_black[8] 25.000 0.000 25.000 25.000 25.000
beta3_black[9] 25.000 0.000 25.000 25.000 25.000
beta3_black[10] 25.000 0.000 25.000 25.000 25.000
beta3_black[11] 25.000 0.000 25.000 25.000 25.000
beta3_black[12] 25.000 0.000 25.000 25.000 25.000
beta3_black[13] 38.946 0.921 36.852 39.100 40.303
beta3_black[14] 25.000 0.000 25.000 25.000 25.000
beta3_black[15] 25.000 0.000 25.000 25.000 25.000
beta3_black[16] 25.000 0.000 25.000 25.000 25.000
beta4_black[1] -0.261 0.198 -0.634 -0.264 0.118
beta4_black[2] 0.270 0.190 -0.103 0.269 0.642
beta4_black[3] -1.004 0.196 -1.374 -1.004 -0.627
beta4_black[4] 0.491 0.224 0.066 0.490 0.927
beta4_black[5] 0.717 1.710 -1.313 0.395 4.603
beta4_black[6] 0.897 2.138 -0.912 0.517 4.779
beta4_black[7] 0.700 1.583 -1.023 0.415 4.521
beta4_black[8] -0.248 0.325 -0.898 -0.244 0.362
beta4_black[9] 0.962 0.858 -0.206 0.799 3.093
beta4_black[10] 0.055 0.186 -0.316 0.056 0.423
beta4_black[11] -0.716 0.230 -1.151 -0.715 -0.287
beta4_black[12] 0.412 0.337 -0.245 0.413 1.072
beta4_black[13] -1.347 0.222 -1.783 -1.344 -0.911
beta4_black[14] -0.113 0.247 -0.603 -0.114 0.370
beta4_black[15] -0.937 0.229 -1.375 -0.937 -0.497
beta4_black[16] -0.600 0.245 -1.093 -0.598 -0.135
beta0_dsr[11] 1.885 0.169 1.544 1.887 2.198
beta0_dsr[12] 4.979 0.267 4.454 4.970 5.518
beta0_dsr[13] 1.516 0.169 1.182 1.513 1.845
beta0_dsr[14] 2.625 0.182 2.271 2.630 2.966
beta0_dsr[15] 1.335 0.167 1.006 1.334 1.672
beta0_dsr[16] 2.826 0.171 2.500 2.827 3.163
beta1_dsr[11] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[12] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[13] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[14] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[15] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[16] 0.000 0.000 0.000 0.000 0.000
beta4_dsr[11] 0.670 0.236 0.202 0.666 1.146
beta4_dsr[12] 0.017 0.741 -1.310 -0.051 1.629
beta4_dsr[13] -0.310 0.225 -0.760 -0.307 0.137
beta4_dsr[14] 0.058 0.282 -0.485 0.060 0.604
beta4_dsr[15] 0.823 0.226 0.392 0.823 1.279
beta4_dsr[16] 0.096 0.250 -0.389 0.091 0.581
beta0_slope[11] -1.827 0.170 -2.154 -1.827 -1.498
beta0_slope[12] -4.748 0.256 -5.273 -4.742 -4.245
beta0_slope[13] -1.263 0.177 -1.608 -1.265 -0.918
beta0_slope[14] -2.622 0.181 -2.983 -2.622 -2.266
beta0_slope[15] -1.259 0.169 -1.592 -1.259 -0.923
beta0_slope[16] -2.677 0.181 -3.037 -2.675 -2.323
beta1_slope[11] 0.000 0.000 0.000 0.000 0.000
beta1_slope[12] 0.000 0.000 0.000 0.000 0.000
beta1_slope[13] 0.000 0.000 0.000 0.000 0.000
beta1_slope[14] 0.000 0.000 0.000 0.000 0.000
beta1_slope[15] 0.000 0.000 0.000 0.000 0.000
beta1_slope[16] 0.000 0.000 0.000 0.000 0.000
beta4_slope[11] -0.809 0.233 -1.262 -0.807 -0.365
beta4_slope[12] -1.607 0.620 -2.894 -1.586 -0.436
beta4_slope[13] 0.085 0.232 -0.358 0.086 0.538
beta4_slope[14] 0.001 0.267 -0.531 0.009 0.524
beta4_slope[15] -0.888 0.227 -1.332 -0.887 -0.448
beta4_slope[16] -0.237 0.248 -0.722 -0.234 0.244
beta5_slope[11] 2.674 0.280 2.117 2.678 3.211
beta5_slope[12] -0.194 0.480 -1.141 -0.196 0.753
beta5_slope[13] 1.226 0.274 0.657 1.227 1.765
beta5_slope[14] 4.036 0.514 3.061 4.021 5.059
beta5_slope[15] 1.750 0.287 1.166 1.755 2.295
beta5_slope[16] 2.697 0.358 2.014 2.690 3.428
sigma_H[1] 0.196 0.054 0.101 0.192 0.310
sigma_H[2] 0.172 0.030 0.120 0.170 0.235
sigma_H[3] 0.203 0.043 0.127 0.200 0.295
sigma_H[4] 0.352 0.075 0.227 0.343 0.523
sigma_H[5] 1.024 0.237 0.579 1.019 1.501
sigma_H[6] 0.279 0.189 0.014 0.257 0.704
sigma_H[7] 0.276 0.050 0.195 0.271 0.388
sigma_H[8] 0.439 0.094 0.306 0.424 0.646
sigma_H[9] 0.396 0.076 0.274 0.388 0.572
sigma_H[10] 0.226 0.045 0.148 0.222 0.328
sigma_H[11] 0.277 0.046 0.197 0.273 0.378
sigma_H[12] 0.472 0.177 0.210 0.473 0.816
sigma_H[13] 0.209 0.037 0.142 0.207 0.288
sigma_H[14] 0.461 0.095 0.308 0.451 0.681
sigma_H[15] 0.249 0.042 0.178 0.245 0.338
sigma_H[16] 0.227 0.045 0.150 0.223 0.332
lambda_H[1] 2.781 3.787 0.140 1.511 13.081
lambda_H[2] 8.608 8.025 0.876 6.370 28.763
lambda_H[3] 7.098 9.622 0.282 3.721 35.123
lambda_H[4] 0.008 0.006 0.002 0.007 0.023
lambda_H[5] 3.296 11.335 0.014 0.372 27.759
lambda_H[6] 10.713 17.209 0.016 4.204 59.545
lambda_H[7] 0.017 0.011 0.003 0.014 0.046
lambda_H[8] 8.263 10.962 0.001 4.754 36.959
lambda_H[9] 0.021 0.015 0.003 0.018 0.058
lambda_H[10] 0.338 0.729 0.033 0.196 1.344
lambda_H[11] 0.274 0.444 0.012 0.129 1.317
lambda_H[12] 5.749 7.857 0.236 3.279 27.170
lambda_H[13] 3.634 3.376 0.264 2.680 12.663
lambda_H[14] 3.289 3.829 0.249 2.122 13.219
lambda_H[15] 0.035 0.366 0.004 0.018 0.116
lambda_H[16] 0.940 1.839 0.028 0.311 5.732
mu_lambda_H[1] 4.405 1.893 1.294 4.233 8.482
mu_lambda_H[2] 3.994 1.970 0.648 3.863 8.068
mu_lambda_H[3] 3.563 1.817 0.820 3.352 7.577
sigma_lambda_H[1] 8.700 4.294 2.182 8.023 18.449
sigma_lambda_H[2] 8.674 4.712 1.067 8.231 18.563
sigma_lambda_H[3] 6.514 4.036 1.060 5.757 16.193
beta_H[1,1] 6.797 1.143 4.046 6.988 8.563
beta_H[2,1] 9.862 0.483 8.759 9.889 10.734
beta_H[3,1] 7.997 0.727 6.263 8.101 9.188
beta_H[4,1] 12.740 7.618 -1.498 12.482 28.586
beta_H[5,1] -0.019 3.234 -6.526 0.127 6.258
beta_H[6,1] 4.288 2.835 -3.896 5.058 7.414
beta_H[7,1] 2.443 5.209 -8.535 2.810 11.915
beta_H[8,1] 2.687 8.695 -2.388 1.241 38.450
beta_H[9,1] 13.628 5.396 3.843 13.411 24.776
beta_H[10,1] 7.151 1.733 3.642 7.203 10.431
beta_H[11,1] 5.117 3.488 -2.661 5.832 10.052
beta_H[12,1] 2.578 0.981 0.780 2.538 4.566
beta_H[13,1] 9.001 0.865 7.149 9.062 10.465
beta_H[14,1] 2.169 0.968 0.211 2.172 4.103
beta_H[15,1] -5.806 3.944 -12.640 -6.169 2.574
beta_H[16,1] 4.137 2.999 -0.669 3.714 11.343
beta_H[1,2] 7.909 0.243 7.399 7.917 8.374
beta_H[2,2] 10.032 0.131 9.771 10.032 10.290
beta_H[3,2] 8.960 0.195 8.580 8.959 9.355
beta_H[4,2] 2.376 1.499 -0.591 2.362 5.345
beta_H[5,2] 1.901 1.118 -0.229 1.893 4.097
beta_H[6,2] 6.017 0.849 4.005 6.126 7.415
beta_H[7,2] 2.072 1.000 0.222 2.016 4.201
beta_H[8,2] 2.655 2.102 -6.247 3.070 4.189
beta_H[9,2] 2.875 1.021 0.826 2.888 4.878
beta_H[10,2] 8.138 0.356 7.381 8.157 8.790
beta_H[11,2] 9.753 0.626 8.811 9.637 11.139
beta_H[12,2] 3.958 0.356 3.280 3.948 4.665
beta_H[13,2] 9.131 0.241 8.671 9.120 9.605
beta_H[14,2] 4.051 0.354 3.365 4.046 4.771
beta_H[15,2] 11.298 0.714 9.803 11.343 12.623
beta_H[16,2] 4.719 0.841 3.133 4.707 6.417
beta_H[1,3] 8.548 0.252 8.094 8.535 9.063
beta_H[2,3] 10.107 0.116 9.882 10.105 10.336
beta_H[3,3] 9.658 0.162 9.350 9.652 9.995
beta_H[4,3] -0.844 1.206 -3.079 -0.885 1.680
beta_H[5,3] 4.149 0.767 2.611 4.152 5.702
beta_H[6,3] 7.554 0.961 6.315 7.291 10.152
beta_H[7,3] -2.132 0.672 -3.499 -2.105 -0.869
beta_H[8,3] 5.339 1.004 4.562 5.126 9.418
beta_H[9,3] -1.729 0.714 -3.171 -1.706 -0.353
beta_H[10,3] 8.850 0.291 8.286 8.848 9.429
beta_H[11,3] 8.559 0.283 7.960 8.580 9.078
beta_H[12,3] 5.325 0.303 4.642 5.354 5.818
beta_H[13,3] 8.942 0.176 8.589 8.944 9.287
beta_H[14,3] 5.813 0.274 5.225 5.833 6.297
beta_H[15,3] 10.398 0.333 9.753 10.388 11.075
beta_H[16,3] 6.001 0.899 4.115 6.090 7.511
beta_H[1,4] 8.301 0.179 7.911 8.314 8.623
beta_H[2,4] 10.166 0.114 9.935 10.169 10.375
beta_H[3,4] 10.163 0.157 9.817 10.175 10.443
beta_H[4,4] 11.524 0.421 10.708 11.512 12.368
beta_H[5,4] 6.035 1.000 4.462 5.913 8.231
beta_H[6,4] 7.503 0.679 5.616 7.654 8.427
beta_H[7,4] 8.131 0.321 7.496 8.131 8.771
beta_H[8,4] 6.608 0.398 5.175 6.667 7.077
beta_H[9,4] 6.901 0.385 6.198 6.900 7.677
beta_H[10,4] 7.798 0.258 7.321 7.786 8.362
beta_H[11,4] 9.373 0.199 8.987 9.376 9.769
beta_H[12,4] 7.145 0.212 6.737 7.140 7.593
beta_H[13,4] 9.071 0.143 8.783 9.075 9.355
beta_H[14,4] 7.799 0.211 7.381 7.802 8.211
beta_H[15,4] 9.464 0.238 9.009 9.462 9.936
beta_H[16,4] 9.407 0.293 8.882 9.390 10.014
beta_H[1,5] 8.982 0.147 8.673 8.987 9.250
beta_H[2,5] 10.784 0.092 10.614 10.781 10.973
beta_H[3,5] 10.896 0.168 10.601 10.883 11.259
beta_H[4,5] 8.484 0.411 7.653 8.476 9.295
beta_H[5,5] 4.992 0.840 3.082 5.146 6.309
beta_H[6,5] 8.598 0.489 7.892 8.517 9.918
beta_H[7,5] 6.841 0.304 6.237 6.843 7.439
beta_H[8,5] 8.250 0.314 7.854 8.200 9.211
beta_H[9,5] 8.372 0.383 7.594 8.377 9.113
beta_H[10,5] 10.063 0.244 9.561 10.071 10.524
beta_H[11,5] 11.506 0.235 11.043 11.508 11.948
beta_H[12,5] 8.466 0.198 8.073 8.463 8.857
beta_H[13,5] 10.005 0.128 9.745 10.002 10.254
beta_H[14,5] 9.218 0.218 8.827 9.207 9.666
beta_H[15,5] 11.153 0.241 10.678 11.154 11.631
beta_H[16,5] 9.891 0.191 9.503 9.902 10.248
beta_H[1,6] 10.185 0.191 9.855 10.168 10.623
beta_H[2,6] 11.512 0.106 11.308 11.512 11.726
beta_H[3,6] 10.823 0.159 10.483 10.833 11.109
beta_H[4,6] 12.804 0.695 11.442 12.817 14.192
beta_H[5,6] 6.067 0.740 4.775 6.009 7.686
beta_H[6,6] 8.834 0.490 7.652 8.889 9.595
beta_H[7,6] 9.786 0.508 8.831 9.778 10.800
beta_H[8,6] 9.452 0.439 8.105 9.512 9.956
beta_H[9,6] 8.332 0.629 7.118 8.322 9.642
beta_H[10,6] 9.540 0.321 8.844 9.562 10.125
beta_H[11,6] 10.813 0.360 10.028 10.840 11.455
beta_H[12,6] 9.383 0.255 8.918 9.366 9.922
beta_H[13,6] 11.045 0.159 10.761 11.038 11.374
beta_H[14,6] 9.813 0.269 9.255 9.814 10.327
beta_H[15,6] 10.852 0.430 10.009 10.854 11.691
beta_H[16,6] 10.553 0.251 10.030 10.558 11.034
beta_H[1,7] 10.824 0.914 8.577 10.952 12.280
beta_H[2,7] 12.209 0.420 11.355 12.207 13.038
beta_H[3,7] 10.581 0.663 9.136 10.656 11.635
beta_H[4,7] 2.691 3.587 -4.116 2.566 9.664
beta_H[5,7] 7.204 2.784 2.711 6.812 13.778
beta_H[6,7] 9.296 1.658 5.744 9.341 12.703
beta_H[7,7] 10.814 2.553 5.503 10.774 15.631
beta_H[8,7] 11.148 1.726 9.320 10.926 16.394
beta_H[9,7] 4.838 3.188 -1.483 4.807 11.014
beta_H[10,7] 9.768 1.495 6.978 9.676 13.113
beta_H[11,7] 10.997 1.756 7.817 10.849 14.904
beta_H[12,7] 10.056 0.918 7.988 10.140 11.639
beta_H[13,7] 11.674 0.731 9.972 11.766 12.871
beta_H[14,7] 10.362 0.903 8.404 10.415 12.001
beta_H[15,7] 11.945 2.232 7.540 11.913 16.266
beta_H[16,7] 12.325 1.341 10.086 12.143 15.265
beta0_H[1] 9.007 13.687 -19.936 8.901 36.845
beta0_H[2] 10.724 6.050 -1.699 10.704 23.170
beta0_H[3] 9.981 9.747 -9.620 10.054 28.635
beta0_H[4] 10.417 167.457 -316.538 8.296 350.344
beta0_H[5] 4.571 41.454 -74.774 4.377 93.241
beta0_H[6] 8.282 31.985 -56.917 7.647 74.619
beta0_H[7] 4.475 119.075 -246.432 4.458 242.315
beta0_H[8] 9.857 74.264 -25.162 6.452 54.888
beta0_H[9] 2.511 105.611 -218.750 5.806 197.350
beta0_H[10] 8.418 33.588 -59.857 8.274 75.660
beta0_H[11] 8.996 49.763 -97.022 9.272 110.753
beta0_H[12] 6.261 10.356 -15.576 6.738 25.985
beta0_H[13] 9.757 10.433 -9.929 9.697 29.644
beta0_H[14] 7.134 11.516 -14.865 7.105 30.630
beta0_H[15] 8.991 104.059 -213.489 6.260 217.899
beta0_H[16] 7.597 30.521 -58.050 8.007 69.818